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Coperfect monoids
Published online by Cambridge University Press: 18 May 2009
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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 satisfying
for 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.
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- Copyright © Glasgow Mathematical Journal Trust 1987
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REFERENCES
1.Berthiaume, P., The injective envelope of S-sets, Canad. Math. Bull. 10 (1967), 261–273.CrossRefGoogle Scholar
2.Damiano, R. F., Coflat rings and modules, Pacific J. Math. 81 (1969), 349–369.CrossRefGoogle Scholar
3.Eklof, P. and Sabbagh, G., Model-completions and modules, Annals Math. Logic 2 (1970–1971), 251–295.CrossRefGoogle Scholar
4.Fountain, J. B., Completely right injective semigroups, Proc. London Math. Soc. 28 (1974), 28–44.CrossRefGoogle Scholar
5.Fountain, J. B., Perfect semigroups, Proc. Edinburgh Math. Soc. (2) 20 (1976–1977), 87–93.CrossRefGoogle Scholar
6.Gould, V. A. R., The characterisation of monoids by properties of their S-systems, Semigroup Forum 32 (1985), 251–265.CrossRefGoogle Scholar
7.Gould, V. A. R., Divisible S-systems and R-modules, Proc. Edinburgh Math. Soc. to appear.Google Scholar
10.Normak, P., Purity in the category of M-sets, Semigroup Forum 20 (1980), 157–170.CrossRefGoogle Scholar
11.Shoji, K., Completely right injective semigroups, Math. Japon. 24 (1979–1980), 609–615.Google Scholar
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