%0 Journal Article
%T On epimorphisms and structurally regular semigroups
%J Categories and General Algebraic Structures with Applications
%I Shahid Beheshti University
%Z 2345-5853
%A Shah, Aftab Hussain
%A Bano, Sakeena
%A Ahanger, Shabir Ahmad
%A Ashraf, Wajih
%D 2021
%\ 07/01/2021
%V 15
%N 1
%P 231-253
%! On epimorphisms and structurally regular semigroups
%K Dominions
%K epimorphisms
%K zigzag
%K saturated
%K structurally regular
%R 10.52547/cgasa.15.1.231
%X 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.
%U https://cgasa.sbu.ac.ir/article_101189_0013e900e44eab4f80dce782861984eb.pdf