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Biregular semigroups. I. (English) Zbl 0223.20071


MSC:

20M17 Regular semigroups
20M18 Inverse semigroups
20M50 Connections of semigroups with homological algebra and category theory

Citations:

Zbl 0223.20072
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References:

[1] R. F. Arens, I. Kaplansky: Topological representation of algebras. Trans. Amer. Math. Soc. 63 (1948), 457-481. · Zbl 0032.00702
[2] R. H. Bruck: A survey of binary systems. Ergebnisse der Math. Heft 20, Springer, Berlin, 1958, 185. · Zbl 0081.01704
[3] A. H. Clifford: Semigroups admitting relative inverses. Annals of Math. 42 (1941), 1037-1048. · Zbl 0063.00920
[4] A. H. Clifford, G. B. Preston: Algebraic theory of semigroups, vol. 1. Amer. Math. Soc. Surveys 7, 1961. · Zbl 0111.03403
[5] R. Croisot: Demi-groupes inversifs et demi-groupes reunions de demi-groupes simples. Ann. Sci. Ecole Norm. Sup. (3) 70 (1953), 361-379. · Zbl 0053.00902
[6] D. D. Miller, A. H. Clifford: Regular \(D\)-classes in semigroups. Trans. Amer. Math. Soc. 82 (1956), 270-280. · Zbl 0071.02001
[7] D. R. Morrison: Biregular rings and the ideal lattice isomorphisms. Proc. Amer. Math. Soc. 6(1952), 46-49. · Zbl 0064.03003
[8] W. D. Munn: Semigroups satisfying minimal conditions. Proc. Glasgow Math. Assoc. 3 (1957), 145-152. · Zbl 0081.01801
[9] M. Petrich: Semigroups certain of whose subsemigroups have identities. Czechoslovak Math. J. 16 (91), (1966), 186-198. · Zbl 0143.03203
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