Geodesic
Proper left type-A monoids revisited
Glasgow mathematical journal, Tome 35 (1993) no. 3, pp. 293-306

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

The relation R* is defined on a semigroup S by the rule that R*b if and only if the elements a, b of S are related by the Green's relation R in some oversemigroup of S. A semigroup S is an E-semigroup if its set E(S)of idempotents is a subsemilattice of S. A left adequate semigroup is an E-semigroup in which every R*-class contains an idempotent. It is easy to see that, in fact, each R*-class of a left adequate semigroup contains a unique idempotent [2]. We denote the idempotent in the R*-class of a by a+. 
Fountain, John; Gomes, Gracinda M. S. Proper left type-A monoids revisited. Glasgow mathematical journal, Tome 35 (1993) no. 3, pp. 293-306. doi: 10.1017/S0017089500009873
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[1] 1.Fountain, J., A class of right PP monoids, Quart. J. Math. Oxford, 28 (2), (1977), 285–330. Google Scholar | DOI

[2] 2.Fountain, J., Adequate semigroups, Proc. Edinb. Math. Soc., 22 (1979), 113–125. Google Scholar | DOI

[3] 3.Fountain, J. and Gomes, Gracinda M. S., Left proper E-dense monoids, J. Pure & Appl. Alg., 80(1) (1992), 1–27. Google Scholar | DOI

[4] 4.Margolis, S. W. and Pin, J.-E., Graphs, inverse semigroups and languages, Proc. 1984 Marquette Conf. on Semigroups,(Marquette University, Milwaukee 1985) 85–112. Google Scholar

[5] 5.Margolis, S. W. and Pin, J.-E., Inverse semigroups and extensions of groups by semilattices, J. Algebra, 110 (1987), 277–297. Google Scholar | DOI

[6] 6.McAlister, D. B., Groups, semilattices and inverse semigroups, Trans. Amer. Math. Soc., 192 (1974) 227–244. Google Scholar

[7] 7.McAlister, D. B., Groups, semilattices and inverse semigroups II, Trans. Amer. Math. Soc., 196 (1974), 351–370. Google Scholar | DOI

[8] 8.O'Carroll, L., Embedding theorems for proper inverse semigroups, J. Algebra,42 (1976), 26–40. Google Scholar | DOI

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