Geodesic
On the natural ordering of -classes and of idempotents in a regular semigroup
Glasgow mathematical journal, Tome 11 (1970) no. 2, pp. 167-168

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

In this paper we prove the following:Let S be a regular semigroup anda, bany elements of S such that Jb = ≦ Ja. Then, for each idempotent e∈Ja, there exists an idempotent f∈ Jb such that f = ≦e. 
Hall, T. E. On the natural ordering of -classes and of idempotents in a regular semigroup. Glasgow mathematical journal, Tome 11 (1970) no. 2, pp. 167-168. doi: 10.1017/S0017089500001026
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[1] 1.Clifford, A. H. and Preston, G. B., The algebraic theory of semigroups, Amer. Math. Soc, Math Surveys No. 7, Vols. I and II (Providence, R.I., 1961 and 1967). Google Scholar

[2] 2.Lallement, G. and Petrich, M., Some results concerning completely 0-simple semigroups, Bull. Amer. Math. Soc. 70 (1964) 777–778. Google Scholar

[3] 3.Lallement, G., Demi-groupes reguliers (Doctoral dissertation), Ann. Mat. Pura. Appl. 77 (iv) (1967), 47–130. Google Scholar

[4] 4.Preston, G. B., Matrix representations of inverse semigroups, J. Aust. Math. Soc. 9 (1969) 29–61. Google Scholar | DOI

[5] 5.Rhodes, J., Some results on finite semigroups, J. Algebra 4 (1966), 471–504. Google Scholar | DOI

[6] 6.Warne, R. J., Extensions of completely 0-simple semigroups by completely 0-simple semigroups, Proc. Amer. Math. Soc. 17 (1966), 524–526. Google Scholar

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