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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     author = {B. V. Novikov},
     title = {Non-commutative {Grillet} semigroups},
     journal = {Algebra and discrete mathematics},
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     number = {2},
     year = {2014},
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     url = {http://geodesic.mathdoc.fr/item/ADM_2014_17_2_a9/}
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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/