Non-commutative Grillet semigroups
Algebra and discrete mathematics, Tome 17 (2014) no. 2, pp. 298-307.

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Grillet semigroups are introduced. This class of semigroups contains regular semigroups and complete commutative semigroups (by Grillet's terminology). Some structural theorems are proved.
Keywords: epigroup, elementary semigroup, complete commutative semigroup.
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B. V. Novikov. Non-commutative Grillet semigroups. Algebra and discrete mathematics, Tome 17 (2014) no. 2, pp. 298-307. http://geodesic.mathdoc.fr/item/ADM_2014_17_2_a9/

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