On epimorphisms and structurally regular semigroups
Publish Year: 1400
Type: Journal paper
Language: English
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JR_CGASAT-15-1_007
Index date: 14 September 2021
On epimorphisms and structurally regular semigroups abstract
In this paper we study epimorphisms, dominions and related properties for some classes of structurally (n,m)-regular semigroups for any pair (n,m) of positive integers. In Section 2, after a brief introduction of these semigroups, we prove that the class of structurallly (n,m)-generalized inverse semigroups is closed under morphic images. We then prove the main result of this section that the class of structurally (n,m)-generalized inverse semigroups is saturated and, thus, in the category of all semigroups, epimorphisms in this class are precisely surjective morphisms. Finally, in the last section, we prove that the variety of structurally (o, n)-left regular bands is saturated in the variety of structurally (o, k)-left regular bands for all positive integers k and n with 1 ≤ k ≤ n.
On epimorphisms and structurally regular semigroups Keywords:
On epimorphisms and structurally regular semigroups authors
Aftab Shah
Department of Mathematics of Central University of Kashmir, Ganderbal, India
Sakeena Bano
Department of Mathematics Central University of Kashmir, Ganderbal, India
Shabir Ahanger
Department of Mathematics Central University of Kashmir, Ganderbal, India
Wajih Ashraf
Department of Mathematics, Aligarh Muslim University, Aligarh, India
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