Geodesic
E-unitary inverse semigroups over semilattices
Glasgow mathematical journal, Tome 19 (1978) no. 1, pp. 1-12

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

An inverse semigroup is called E-unitary if the equations ea = e = e2 together imply a2 = a. In a previous paper [4], the author showed that any E-unitary inverse semigroup is isomorphic to a semigroup constructed from a triple (G, H, ) consisting of a down-directed partially ordered set H, an ideal and subsemilattice of H and a group G acting on H, on the left, by order automorphisms in such a way that H = G. This semigroup is denoted by P(G, H, ); it consists of all pairs (a, g)∈ × G such that g−1a ∈ , under the multiplication 
McAlister, D. B. E-unitary inverse semigroups over semilattices. Glasgow mathematical journal, Tome 19 (1978) no. 1, pp. 1-12. doi: 10.1017/S0017089500003311
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[1] 1.Clifford, A. H. and Preston, G. B., The algebraic theory of semigroups, Vols. I and II, Math. Surveys of the Amer. Math. Soc. 7 (Providence, R.I., 1961 and 1967). Google Scholar

[2] 2.Eberhart, C. and Selden, J., One parameter inverse semigroups, Trans. Amer. Math. Soc. 168 (1972), 53–66. Google Scholar | DOI

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

[4] 4.McAlister, D. B., Groups, semilattices and inverse semigroups II, Trans. Amer. Math. Soc. 196 (1974), 351–369. Google Scholar | DOI

[5] 5.McAlister, D. B., Some covering and embedding theorems for inverse semigroups, J. Austral. Math. Soc. 22 (1976), 188–211. Google Scholar

[6] 6.McFadden, R. and O'Carroll, L., F-inverse semigroups, Proc. London Math. Soc. (3) 22 (1971), 652–666. Google Scholar | DOI

[7] 7.Munn, W. D., A class of irreducible matrix representations of an arbitrary inverse semigroup, Proc. Glasgow Math. Assoc. 5 (1961), 41–48. Google Scholar | DOI

[8] 8.O'Carroll, L., A note on free inverse semigroups, Proc. Edinburgh Math. Soc. (2) 19 (1974), 17–23. Google Scholar | DOI

[9] 9.O'Carroll, L., Idempotent determined congruences on inverse semigroups, Semigroup Forum 12 (1976), 233–244. Google Scholar | DOI

[10] 10.Reilly, N. R. and Munn, W. D., E-unitary congruences on inverse semigroups, Glasgow Math. J. 17 (1976), 57–75. Google Scholar

[11] 11.Reilly, N. R. and Scheiblich, H. E., Congruences on regular semigroups, Pacific J. Math. 23 (1967), 349–360. Google Scholar | DOI

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