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JOURNALS // Algebra and Discrete Mathematics // Archive

Algebra Discrete Math., 2014 Volume 17, Issue 2, Pages 298–307 (Mi adm473)

RESEARCH ARTICLE

Non-commutative Grillet semigroups

B. V. Novikov

Kharkov National University, Svobody sq., 4, 61077, Kharkov, Ukraine

Abstract: 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.

MSC: 20M10

Received: 25.03.2014
Revised: 25.03.2014

Language: English



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