HISTORY OF SEMIGROUP THEORY: BIBLIOGRAPHY CHRISTOPHER HOLLINGS

This file was generated from my ‘history of semigroup theory’ BibTeX file, which contains a list of all the sources I have consulted/cited, however briefly, during my study of the history of algebraic semigroup theory. It should be noted that many of these references are only tangentially related to the history of semigroups. References 1. Department of Function Theory and Functional Analysis, Kharkov National University, Ukraine, http://www-mechmath.univer.kharkov.ua/funcan/. 2. The MacTutor History of Mathematics Archive, http://www-groups.dcs.stand.ac.uk/∼history/. 3. Oxford English Dictionary Online, http://www.oed.com. 4. Author index of mathematical reviews 1940–1959, vol. 1/20, American Mathematical Society, Providence, R.I., 1961. 5. A. Ya. A˘ızenshtat and B. M. Schein, Evgeniy Sergeyevich Lyapin — in memoriam, Aequationes Math. 73 (2007), 1–9. 6. A. A. Albert, Structure of algebras, American Mathematical Society Colloquium Publications, Volume XXVI, American Mathematical Society, 1939. 7. P. S. Aleksandrov, Yu. L. Ershov, M. I. Kargapolov, E. N. Kuz’min, D. M. Smirnov, A. D. Taimanov, and A. I. Shirshov, Anatolii Ivanovich Mal’tsev: obituary, Russian Math. Surveys 23 (1968), no. 3, 157–168, (translated by H. Freedman). 8. J. Almeida and D. Perrin, Obituary: G´erard Lallement (1935–2006), Semigroup Forum 78 (2009), 379–383. 9. D. D. Anderson and E. W. Johnson, Ideal theory in commutative semigroups, Semigroup Forum 30 (1984), 127–158. 10. Anon, Heinrich Brandt, Jahresber. Deutsch. Math.-Verein. 57 (1955), 8. , Anton Kazimirovich Suschkewitsch: obituary, Uspekhi Mat. Nauk 17 (1962), 11. no. 2 (104), 165. 12. , L´ aszl´ o R´edei, Acta Sci. Math. (Szeged) 43 (1981), 3–4. , Academic Anatoly Ivanovich Maltsev (on the 80th anniversary of his birth), 13. Sibirsk. Mat. Zh. 30 (1989), no. 6, 3–6. 14. , In memoriam: Robert R. Stoll, Modern Logic 1 (1991), no. 4, 359. 15. , Obituary: Alfred Hoblitzelle Clifford, Semigroup Forum 46 (1993), 137. 16. , Citation for David Rees, FRS (p´ olya prize, 1993), Bull. London Math. Soc. 26 (1994), 413. 17. , Articles by A. H. Clifford, Semigroup Forum 52 (1996), 3–6. 18. , Interview: Marcel-Paul Sch¨ utzenberger: The miracles of Darwinism, Origins & Design 17 (1996), no. 2, (Access Research Network). Date: February 11, 2010. 1

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19. , An interview with J. A. Green, Bull. Intern. Centre Math. 4 (1998), 5–7. 20. , Obituary: Takayuki Tamura (1919–2009), Semigroup Forum 79 (2009), 1. 21. J. C. Anscombre, Sur un extension du lemme de Green, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 55 (1973), 650–656. 22. E. P. Armendariz, Book review: ‘Von Neumann regular rings’ by K. R. Goodearl, Bull. Amer. Math. Soc. (N. S.) 3 (1980), no. 1, 752–757. 23. I. Arnold, Ideale in kommutativen Halbgruppen, Mat. Sb. 36 (1929), 401–408. 24. K. Asano and K. Murata, Arithmetical ideal theory in semigroups, J. Inst. Polytech. Osaka City Univ. Ser. A Math. 4 (1953), 9–33. 25. K. Aubert, On the ideal theory of commutative semigroups, Math. Scand. 1 (1953), 39–54. 26. R. Baer, Beitr¨ age zur Galoisschen Theorie, Sitz. Heidelberg (1928), 1–22. , Zur Einordnung der Theorie der Mischgruppen in die Gruppentheorie, Sitz. Hei27. delberg (1928), 18pp. 28. , Zur Einf¨ uhrung des Scharbegriffs, J. reine angew. Math. 160 (1929), 199–207. 29. R. Baer and F. Levi, Vollst¨ andige irreduzibele Systeme von Gruppenaxiomen, Sitz. Heidelberg 2 (1932), 1–12. 30. D. L. Banks, A conversation with I. J. Good, Statistical Science 11 (1996), 1–19. 31. E. T. Bell, Unique decomposition, Amer. Math. Monthly 37 (1930), 400–418. 32. , Finite ova, Proc. Nat. Acad. Sci. USA 19 (1933), 577–579. 33. V. D. Belousov, S. D. Berman, E. S. Lyapin, A. V. Mikhal¨ev, B. V. Novikov, B. I. Plotkin, L. N. Shevrin, and L. A. Skornyakov, Lazar’ Matveevich Gluskin (obituary), Russian Math. Surveys 42 (1987), no. 4, 139–140, (translated by A. Davenport). , Lazar’ Matveevich Gluskin (obituary) (Russian), Uspekhi Mat. Nauk 42 (1987), 34. no. 4 (256), 113–114. 35. Jean Berstel and Dominique Perrin, The origins of combinatorics on words, European J. Combin. 28 (2007), no. 3, 996–1022. 36. M. Bhargava, Higher composition laws and applications, Proceedings of the International Congress of Mathematicians, Madrid, European Mathematical Society, 2006, pp. 271–294. 37. G. Birkhoff, Hausdorff groupoids, Ann. Math. (2) 35 (1934), no. 2, 351–360. , Combinatorial relations in projective geometries, Ann. Math. (2) 36 (1935), 743– 38. 748. 39. , On the structure of abstract algebras, Proc. Cam. Phil. Soc. 31 (1935), no. 4, 433–454. 40. , Lattice theory, American Mathematical Society Colloquium Publications, no. 25, American Mathematical Society, New York, 1948. , Current trends in algebra, Amer. Math. Monthly 80 (1973), no. 7, 760–782. 41. ¨ 42. O. Bor˚ uvka, Uber Ketten von Faktoroiden, Math. Ann. 118 (1941), 41–64. ´ ements de math´ematique, alg`ebre, Hermann, Paris, 1943. 43. N. Bourbaki, El´ , Elements of mathematics, algebra I, Addison-Wesley, 1974. 44. 45. H. Brandt, Zur Komposition der quatern¨ aren quadratischen Formen, J. reine angew. Math. 143 (1913), 106–129. 46. , Der Kompositionsbergriff bei den quatern¨ aren quadratischen Formen, Math. Ann. 91 (1924), 300–315. 47. , Die Hauptklassen in der Kompositionstheorie der quatern¨ aren quadratischen Formen, Math. Ann. 94 (1925), 166–175. ¨ 48. , Uber die Komponierbarkeit quatern¨ arer quadratischer Formen, Math. Ann. 94 (1925), 179–197. ¨ 49. , Uber das assoziative Gesetz bei der Komposition der quatern¨ aren quadratischen Formen, Math. Ann. 96 (1926), 353–359.

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¨ , Uber eine Verallgemeinerung des Gruppenbegriffes, Math. Ann. 96 (1926), 360–

50. 366. 51. 52. 53. 54. 55. 56. 57.

58. 59. 60. 61. 62. 63. 64. 65. 66. 67. 68. 69. 70. 71. 72. 73. 74. 75. 76.

, Idealtheorie in einer Dedekindsche Algebra, Jahresber. Deutsch. Math.-Verein. 37 (1928), 5–7. , Idealtheorie in Quaternionenalgebren, Math. Ann. 99 (1928), 1–29. ¨ , Uber die Axiome des Gruppoids, Vierteljahr. Natur. Gesell. Z¨ urich 85 (1940), 95–104. R. Brown, From groups to groupoids: a brief survey, Bull. London Math. Soc. 19 (1987), 113–134. , Groupoids and crossed objects in algebraic topology, Homology, Homotopy Appl. 1 (1999), no. 1, 1–78. R. H. Bruck, A survey of binary systems, Springer-Verlag, 1966. M. I. Budyko, V. V. Wagner, B. Z. Vulikh, L. M. Gluskin, A. E. Evseev, D. K. Fadeev, and L. N. Shevrin, Evgenii Sergeevich Lyapin (on his sixtieth birthday), Russian Math. Surveys 30 (1975), no. 3, 139–147, (translated by J. Young). , Evgenii Sergeevich Lyapin (on his sixtieth birthday) (Russian), Uspekhi Mat. Nauk 30 (1975), no. 3 (183), 187–194. W. Burnside, On the condition of reducibility of any group of linear substitutions, Proc. London Math. Soc. (2) 3 (1905), 430–434. G. C. Bush, The embedding theorems of Malcev and Lambek, Canad. J. Math. 15 (1963), 49–58. , The embeddability of a semigroup–conditions common to Mal’cev and Lambek, Trans. Amer. Math. Soc. 157 (1971), 437–448. H. S. Butts and G. Pall, Modules and binary quadratic forms, Acta Arith. 15 (1968), 23–44. P. J. Cameron, Introduction to algebra, Oxford University Press, 1998. J. H. Carruth and C. E. Clark, Generalized Green’s theories, Semigroup Forum 20 (1980), 95–127. A. Cauchy, Exercises d’analyse et de physique math´ematique, vol. III, Paris, 1844. A. Cayley, On the theory of groups as depending on the symbolic equation θn = 1, Philosophical Magazine 7 (1854), 40–47, (Collected Papers, II, 123–130). J. Certaine, The ternary operation (abc) = ab−1 c of a group, Bull. Amer. Math. Soc. 49 (1943), 869–877. S. N. Chernikov, D. E. Zaitsev, and Ya. P. Sysak, O. Yu. Schmidt and group theory, Ukrainian Math. J. 33 (1981), no. 5, 539–541. , O. Yu. Schmidt and group theory (Russian), Ukra¨ın. Mat. Zh. 33 (1981), no. 5, 700–703, 719. C. Chevalley, Fundamental concepts of algebra, Academic Press, 1956. A. Church, Additions and corrections to a bibliography of symbolic logic, J. Symbolic Logic 3 (1938), no. 4, 178–192. B. Churchhouse, Douglas Munn, London Math. Soc. Newsletter 381 (2009), 5. A. H. Clifford, Arithmetic and ideal theory of abstract multiplication, Ph.D. thesis, California Institute of Technology, 1933. , A system arising from a weakened set of group postulates, Ann. Math. (2) 34 (1933), 865–871. , Arithmetic and ideal theory of abstract multiplication, Bull. Amer. Math. Soc. 40 (1934), 326–330. , Representations induced in an invariant subgroup, Proc. Nat. Acad. Sci. USA 23 (1937), 89–90.

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77. 78. 79. 80. 81. 82. 83. 84. 85. 86. 87. 88. 89. 90. 91. 92. 93. 94. 95. 96. 97. 98. 99. 100. 101. 102. 103. 104. 105. 106.

, Representations induced in an invariant subgroup, Ann. Math. (2) 38 (1937), 533–550. , Arithmetic and ideal theory of commutative semigroups, Ann. Math. (2) 39 (1938), 594–610. , Partially ordered abelian groups, Ann. Math. (2) 41 (1940), 465–473. , Semigroups admitting relative inverses, Ann. Math. (2) 42 (1941), 1037–1049. , Matrix representations of completely simple semigroups, Amer. J. Math. 64 (1942), 327–342. , Semigroups containing minimal ideals, Amer. J. Math. 70 (1948), 521–526. , Semigroups without nilpotent ideals, Amer. J. Math. 71 (1949), 834–844. , Extensions of semigroups, Trans. Amer. Math. Soc. 68 (1950), 165–173. , A class of d-simple semigroups, Amer. J. Math. 75 (1953), 547–556. , Bands of semigroups, Proc. Amer. Math. Soc. 5 (1954), 499–504. , Basic representations of completely simple semigroups, Amer. J. Math. 82 (1960), 430–434. , Caract`eres d’un demigroupe commutatif, S´em. Dubreil. Alg. th. nomb. 15 (1961– 1962), no. 2, exp. no. 21, pp. 1–5. , La d´ecomposition d’un demi-groupe commutatif en ses composantes archim´ediennes, S´em. Dubreil. Alg. th. nomb. 15 (1961–1962), no. 2, exp. no. 20, pp. 1–3. , The structure of orthodox unions of groups, Semigroup Forum 3 (1972), 283–337. , Book review: ‘Introduction to semigroups’ by Mario Petrich, Semigroup Forum 9 (1974), 88–94. , A voice from the past, Proceedings of the Monash Conference on Semigroup Theory, 1990, p. 1. A. H. Clifford and D. D. Miller, Semigroups having zeroid elements, Amer. J. Math. 70 (1948), 117–125. A. H. Clifford and G. B. Preston, The algebraic theory of semigroups, Mathematical Surveys, No. 7, vol. 1, American Mathematical Society, Providence, RI, 1961. , The algebraic theory of semigroups, Mathematical Surveys No. 7, vol. 2, American Mathematical Society, Providence, RI, 1967. , The algebraic theory of semigroups (Russian), Mathematical Surveys, No. 7, vol. 1, Izdatelstvo “Mir”, Moscow, 1972. , The algebraic theory of semigroups (Russian), Mathematical Surveys No. 7, vol. 2, Izdatelstvo “Mir”, Moscow, 1972. ´ A. C. Climescu, Sur les quasicycles, Bull. Ecole Polytech. Jassy 1 (1946), 5–14. P. M. Cohn, Algebra, vol. 1, John Wiley and Sons, 1974. , Algebra, vol. 2, John Wiley and Sons, 1977. B. J. Copeland, Colossus: The secrets of Bletchley Park’s codebreaking computers, Oxford University Press, 2006. D. Corfield, The importance of mathematical conceptualisation, Stud. Hist. Phil. Sci. 32 (2001), no. 3, 507–533. L. Corry, The origins of the definition of abstract rings, Modern Logic 8 (2000), 5–27. A. B. Cripps, A comparison of some generalizations of Green’s relations, Semigroup Forum 24 (1982), 1–10. R. Croisot, Une interpr`etation des relations d’´equivalence dans un ensemble, C. R. Acad. Sci. Paris 226 (1948), 616–617. , Demi-groupes inversifs et demi-groupes r´eunions de demi-groupes simples, Ann. ´ norm. sup., Paris (3) 70 (1953), 361–379. sci. Ec.

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107. C. W. Curtis, Pioneers of representation theory: Frobenius, Burnside, Schur and Brauer, American Mathematical Society, 1999. 108. A. C. da Silva and A. Weinstein, Geometric models for noncommutative algebras, Berkeley Mathematics Lecture Notes, vol. 10, American Mathematical Society, 1999. ´ ements de la th´eorie des groupes abstraits, 109. J.-A. de S´eguier, Th´eorie des groupes finis: El´ Paris, Gauthier-Villars, 1904. ¨ 110. R. Dedekind, Uber Zerlegungen von Zahlen durch ihre gr¨ oßte gemeinsamen Teiler, Festschrift der Technischen Hochschule zu Braunschweig bei Gelegenheit der 69. Ver¨ sammlung Deutscher Naturforscher und Artze, 1897, (Also: Gesammelte Werke XXVIII, Band 2, 103-147), pp. 1–40. 111. M. Demlov´a, The sixtieth birthday of Professor Bedˇrich Pondˇel´ıˇcek, Czechoslovak Math. J. 42 (117) (1992), 765–768. 112. K. Denecke, Hans-j¨ urgen Hoehnke, Sci. Math. Jpn. 68 (2008), no. 2, 177–181. , To the memory of Hans-J¨ urgen Hoehnke (1925–2007), Discuss. Math. Gen. Al113. gebra Appl. 28 (2008), no. 1, 5–9. 114. L. E. Dickson, De S´eguier’s theory of abstract groups, Bull. Amer. Math. Soc. 11 (1904), 159–162. , Definitions of a group and a field by independent postulates, Trans. Amer. Math. 115. Soc. 6 (1905), 198–204. , On semi-groups and the general isomorphism between infinite groups, Trans. 116. Amer. Math. Soc. 6 (1905), 205–208. 117. J. A. Dieudonn´e, The work of Nicholas Bourbaki, Amer. Math. Monthly 77 (1970), 134– 145. 118. R. Dimitri´c, Anatoly Ivanovich Maltsev, Math. Intelligencer 14 (1992), no. 2, 26–30. 119. J. D. Dixon, General group extensions, Pacific J. Math. 13 (1963), no. 1, 73–77. 120. R. Doss, Sur l’immersion d’un semi-groupe dans un groupe, Bull. Sci. Math. (2) 72 (1948), 139–150. 121. P. Dubreil, Recherches sur la valeur des exposants des composants primaires des id´eaux de polynomes, J. math. pures appl. (9) 9 (1930), 231–309. , Contribution a ` la th´eorie des demi-groupes, M´em. Acad. Sci. Inst. France (2) 63 122. (1941), 52pp. 123. , Sur les probl`emes d’immersion et la th´eorie des modules, C. R. Acad. Sci. Paris 216 (1943), 625–627. 124. , Alg`ebre, tome I: Equivalences, op´erations. Groupes, anneaux, corps, 1st ed., Gauthier-Villars, Paris, 1946. 125. , Alg`ebre, tome I: Equivalences, op´erations. Groupes, anneaux, corps, 2nd ed., Gauthier-Villars, Paris, 1954. 126. , Apparition et premiers d´eveloppements de la th´eorie des demi-groupes en France, Cah. sem. hist. math. 2 (1981), 59–65. ´ 127. P. Dubreil and M.-L. Dubreil-Jacotin, Equivalences et op´erations, Ann. Univ. Lyon Sect. A (3) 3 (1940), 63–95. 128. M.-L. Dubreil-Jacotin, Sur l’immersion d’un semi-groupe dans un groupe, C. R. Acad. Sci. Paris 225 (1947), 787–788. 129. , Quelques propri´et´es arithm´etiques dans un demi-groupe demi-r´eticul´e entier, C. R. Acad. Sci. Paris 232 (1951), 1174–1176. 130. L. Duncan, Obituary: Professor Douglas Munn, Stirling Observer (2008). 131. , Professor Walter Douglas Munn: an appreciation, The Herald (2008). 132. P. L. Duren, R. Askey, U. C. Merzbach, and H. M. Edwards, A century of mathematics in America, History of Mathematics, vol. 1, American Mathematical Society, 1989.

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ˇ 133. A. Dvureˇcenskij, Academician Stefan Schwarz (1914-1996), Math. Slovaca 46 (1996), no. 4, 433–434. 134. H. M. Edwards, The genesis of ideal theory, Arch. Hist. Exact Sci. 23 (1980), 321–378. 135. N. V. Efimov, A. E. Liber, E. S. Lyapin, and P. K. Rashevsk˘ı, Viktor Vladimirovich Vagner (on his seventieth birthday), Russian Math. Surveys 34 (1979), no. 4, 209–212, (translated by S. Rhodes). , Viktor Vladimirovich Wagner (on his seventieth birthday) (Russian), Uspekhi 136. Mat. Nauk 34 (1979), no. 4 (208), 227–229. 137. C. Ehresmann, Gattungen von lokalen Strukturen, Jahresber. Deutsch. Math.-Verein. 60 (1957), 49–77. 138. , Cat´egories inductives et pseudogroupes, Annales de l’Institut Fourier, Grenoble 10 (1960), 307–336. 139. Ch. Ehresmann, Cat´egories et structures, Dunod, Paris, 1965. , Oeuvres compl`etes et comment`ees, Supplements to Cahiers de Topolgie et 140. G´eom´etrie Diff´erentielle (A. C. Ehresmann, ed.), Amiens, 1980-83. 141. S. Eilenberg and S. Mac Lane, The general theory of natural equivalences, Trans. Amer. Math. Soc. 58 (1945), 231–294. 142. R. El Bashir and T. Kepka, Congruence-simple semirings, Semigroup Forum 75 (2007), 588–608. 143. A. El-Qallali, Structure theory for abundant and related semigroups, Ph.D. thesis, University of York, 1980. 144. F. Enriques and O. Chisini, Courbes et fonctions alg´ebriques d’une variable, GauthierVillars, Paris, 1926, translated into French by M. Legaut. 145. S. Epsteen, On reducible groups, Trans. Amer. Math. Soc. 4 (1903), no. 3, 249–250. 146. Yu. I. Ermakov, B. L. Laptev, A. E. Liber, A. P. Norden, and A. P. Shirokov, In memory of Viktor Vladimirovich Wagner (Russian), Izv. Vyssh. Uchebn. Zaved. Mat. (1981), no. 10, 85–88. 147. S. Favorov, B. Novikov, A. Vyshnevetskiy, and G. Zholtkevich, Emmanuil Moiseevich Zhmud (1918-2007), Algebra and Discrete Mathematics 2 (2008), 130–135. 148. J. Fountain, A class of right PP monoids, Quart. J. Math., Oxford (2) 28 (1977), 285–300. , Right PP monoids with central idempotents, Semigroup Forum 13 (1977), 229– 149. 237. 150. , Adequate semigroups, Proc. Edinburgh Math. Soc. (2) 22 (1979), 113–125. 151. , The work of Douglas Munn and its legacy, (2010). 152. J. Fountain, G. Gomes, and V. Gould, A Munn-type representation for a class of Esemiadequate semigroups, J. Alg. 218 (1999), 693–714. ¨ 153. A. Fraenkel, Uber die Teiler der Null und die Zerlegung von Ringen, J. f¨ ur Math. 145 (1915), 139–176. 154. R. Fritzsche and H.-J. Hoehnke, Heinrich Brandt: 1886–1986, Wissenschaftliche Beitr¨age, 47, Martin-Luther-Universit¨at Halle-Wittenberg, Halle, 1986. ¨ 155. F. G. Frobenius, Uber endliche Gruppen, Sitz. Akad. Wiss. Berlin (1895), 81–112. ¨ ¨ 156. G. Frobenius and I. Schur, Uber die Aquivalenz der Gruppen linearer Substitutionen, Sitz. Acad. Wiss. Berlin (1906), 209–217. 157. C. F. Gauss, Disquisitiones arithmeticae, Leipzig, 1801, (English translation: Yale University Press, 1965). 158. L. A. Gladwin, Alan M. Turing’s critique of running short cribs on the US Navy Bombe, Cryptologia 27 (2003), no. 1, 50–54. 159. L. M. Gluskin, Book review: E. S. Lyapin, ‘Semigroups’ (Russian), Uspekhi Mat. Nauk 16 (1961), 248–250.

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160. , Semigroups (Russian), Itogi Nauki. (Algebra. Topol. 1962) 1 (1963), 33–58. 161. , Semigroups (Russian), Itogi Nauki. Ser. Mat. (Algebra. 1964) 3 (1966), 161–202. , The theory of semigroups (Russian), Ist. Otetsch. Mat., Kiev 3 (1968), 321–332. 162. 163. L. M. Gluskin, A. E. Evseev, T. L. Kolesnikova, V. M. Krivenko, D. K. Faddeev, and L. N. Shevrin, Evgenii Sergeevich Lyapin (on his seventieth birthday), Russian Math. Surveys 40 (1985), no. 2, 251–253, (translated by A. Lofthouse). , Evgenii Sergeevich Lyapin (on his seventieth birthday) (Russian), Uspekhi Mat. 164. Nauk 40 (1985), no. 2 (242), 211–212. 165. L. M. Gluskin and E. S. Lyapin, Anton Kazimiroviˇc Suˇskeviˇc (on his seventieth birthday) (Russian), Uspekhi Mat. Nauk 14 (1959), 255–260. 166. L. M. Gluskin and B. M. Schein, The theory of operations as the general theory of groups (Anton Suˇskeviˇc, dissertation, Voronezh, 1922): an historical review, Semigroup Forum 4 (1972), 367–371. 167. L. M. Gluskin, B. M. Schein, and L. N. Shevrin, Semigroups (Russian), Itogi Nauki. Ser. Mat. (Algebra. Topol. Geom. 1966) 5 (1968), 9–56. ¨ 168. S. GoÃla¸b, Uber den Begriff der ‘Pseudogruppe von Transformationen’, Math. Ann. 116 (1939), 768–780. 169. G. M. S. Gomes and V. Gould, Proper weakly left ample semigroups, Internat. J. Algebra Comput. 9 (1999), 721–739. , Graph expansions of unipotent monoids, Comm. Algebra 28 (2000), 447–463. 170. 171. , Finite proper covers in a class of finite semigroups with commuting idempotents, Semigroup Forum 66 (2003), 433–454. 172. K. R. Goodearl, Von Neumann regular rings, Monographs and Studies in Mathematics, no. 4, Pitman, 1979. , Von Neumann regular rings: connections with functional analysis, Bull. Amer. 173. Math. Soc. (N. S.) 4 (1981), no. 2, 125–134. 174. N. L. Gordeev, A. L. Verner, A. E. Evseev, S. I. Kublanovskii, I. S. Ponizovskii, and A. V. Yakovlev, Evgenii Sergeevich Lyapin (obituary), Russian Math. Surveys 60 (2005), no. 2, 335–336, (translated by Olga Tabachnikova). , Evgenii Sergeevich Lyapin (obituary) (Russian), Uspekhi Mat. Nauk 60 (2005), 175. no. 2 (362), 143–144. 176. L. M. Graves, Extensions of algebraic systems to form fields, Amer. Math. Monthly 45 (1938), 664–669. 177. R. Gray and N. Ruˇskuc, Green index and finiteness conditions for semigroups, J. Alg. (to appear). 178. J. A. Green, Abstract algebra and semigroups, Ph.D. thesis, University of Cambridge, 1951. 179. , On the structure of semigroups, Ann. Math. (2) 54 (1951), 163–172. 180. , Private communication, 8th October 2008. 181. , Private communication, 9th October 2008. 182. , Private communication, 22nd August 2008. 183. J. A. Green and D. Rees, On semi-groups in which xr = x, Proc. Cam. Phil. Soc. 48 (1952), 35–40. 184. R. E. Greenwood, A. M. Gleason, A. H. Clifford, and E. H. Hanson, Enigma wiring recovery from the reading of a depth, NR. 1737, CBLH17, Box 705, ENIGMA (Conferences, Theory, Related info), NARA, RG 457, NSA Historical Collection, 19 April 1945. ˇ 185. O. Groˇsek, L. Satko, and B. Schein, Eightieth birthday of Professor Stefan Schwarz, Semigroup Forum 49 (1994), 1–5. 186. K. W. Gruenberg, Reinhold Baer, Bull. London Math. Soc. 13 (1981), 339–361.

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