Coperfect monoids
Glasgow mathematical journal, Tome 29 (1987) no. 1, pp. 73-88

Voir la notice de l'article provenant de la source Cambridge University Press

Throughout this paper S will denote a given monoid, that is, a semigroup with an identity. A set A is a right S-system if there is a map φ: A × S → A satisfyingfor any element a of A and any elements s, t of S. For φ(a, s) we write as and we refer to right S-systems simply as S-systems. One has the obvious definitions of an S-subsystem and an S-homomorphism.
Gould, Victoria. Coperfect monoids. Glasgow mathematical journal, Tome 29 (1987) no. 1, pp. 73-88. doi: 10.1017/S0017089500006686
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[1] 1.Berthiaume, P., The injective envelope of S-sets, Canad. Math. Bull. 10 (1967), 261–273. Google Scholar | DOI

[2] 2.Damiano, R. F., Coflat rings and modules, Pacific J. Math. 81 (1969), 349–369. Google Scholar | DOI

[3] 3.Eklof, P. and Sabbagh, G., Model-completions and modules, Annals Math. Logic 2 (1970–1971), 251–295. Google Scholar | DOI

[4] 4.Fountain, J. B., Completely right injective semigroups, Proc. London Math. Soc. 28 (1974), 28–44. Google Scholar | DOI

[5] 5.Fountain, J. B., Perfect semigroups, Proc. Edinburgh Math. Soc. (2) 20 (1976–1977), 87–93. Google Scholar | DOI

[6] 6.Gould, V. A. R., The characterisation of monoids by properties of their S-systems, Semigroup Forum 32 (1985), 251–265. Google Scholar | DOI

[7] 7.Gould, V. A. R., Divisible S-systems and R-modules, Proc. Edinburgh Math. Soc. to appear. Google Scholar

[8] 8.Isbell, J. R., Beatific semigroups, J. Algebra 23 (1972), 228–238. Google Scholar | DOI

[9] 9.Isbell, J. R., Perfect monoids, Semigroup Forum 2 (1971), 95–118. Google Scholar | DOI

[10] 10.Normak, P., Purity in the category of M-sets, Semigroup Forum 20 (1980), 157–170. Google Scholar | DOI

[11] 11.Shoji, K., Completely right injective semigroups, Math. Japon. 24 (1979–1980), 609–615. Google Scholar

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