Geodesic
The lattice of inverse subsemigroups of a reduced inverse semigroup†
Glasgow mathematical journal, Tome 17 (1976) no. 2, pp. 161-172

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

An inverse semigroup R is said to be reduced (or proper) if R∩σ= i (where σ is the minimum group congruence on R). McAlister has shown ([3], [4]) that every reduced inverse semigroup is isomorphic with a “P-semigroup” P(G, , ), for some semilattice , poset containing as an ideal, and group G acting on by order-automorphisms; (and, conversely, every P-semigroup is reduced). In [4], he also found the morphisms between P-semigroups, in terms of morphisms between the respective groups, and between the respective posets. 
Jones, P. R. The lattice of inverse subsemigroups of a reduced inverse semigroup†. Glasgow mathematical journal, Tome 17 (1976) no. 2, pp. 161-172. doi: 10.1017/S0017089500002925
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[1] 1.Clifford, A. H. and Preston, G. B., The algebraic theory of semigroups (Providence, R.I., 1961, 1967). Google Scholar

[2] 2.Gluskin, L. M., Elementary generalized groups, Mat. Sb. 41 (83) (1957), 23–26 (Russian) (MR 19, #836). Google Scholar

[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), 351–370. Google Scholar

[5] 5.McAlister, D. B. and McFadden, R., Zig-zag representations and inverse semigroups, J. Algebra 32 (1974), 178–206. Google Scholar

[6] 6.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

[7] 7.O'carroll, L., A note on free inverse semigroups, Proc. Edinburgh Math. Soc. 19 (1974), 17–24. Google Scholar | DOI

[8] 8.Preston, G. B., Inverse semigroups, J. London Math. Soc. 29 (1954), 396–403. Google Scholar

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

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