TY - JOUR
ID - 101189
TI - On epimorphisms and structurally regular semigroups
JO - Categories and General Algebraic Structures with Applications
JA - CGASA
LA - en
SN - 2345-5853
AU - Shah, Aftab Hussain
AU - Bano, Sakeena
AU - Ahanger, Shabir Ahmad
AU - Ashraf, Wajih
AD - Department of Mathematics of Central University of Kashmir, Ganderbal, India
AD - Department of Mathematics Central University of Kashmir, Ganderbal, India
AD - Department of Mathematics, Aligarh Muslim University, Aligarh, India
Y1 - 2021
PY - 2021
VL - 15
IS - 1
SP - 231
EP - 253
KW - Dominions
KW - epimorphisms
KW - zigzag
KW - saturated
KW - structurally regular
DO - 10.52547/cgasa.15.1.231
N2 - 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.
UR - https://cgasa.sbu.ac.ir/article_101189.html
L1 - https://cgasa.sbu.ac.ir/article_101189_0013e900e44eab4f80dce782861984eb.pdf
ER -