Affiliation:
1. Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
2. Department of Mathematics, Central University of Kashmir, Ganderbal 191201, India
Abstract
The aim of this paper is to determine several saturated classes of structurally regular semigroups. First, we show that structurally (n,m)-regular semigroups are saturated in a subclass of semigroups for any pair (n,m) of positive integers. We also demonstrate that, for all positive integers n and k with 1≤k≤n, the variety of structurally (0,n)-left seminormal bands is saturated in the variety of structurally (0,k)-bands. As a result, in the category of structurally (0,k)-bands, epis from structurally (0,n)-left seminormal bands is onto.
Funder
Princess Nourah Bint Abdulrahman University under Researchers Supporting Project
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference15 articles.
1. Isbell, J.R. (1966). Proceedings of the Conference on Categorical Algebra, La Jolla 1965, Springer.
2. Epimorphisms and Dominions II;Howie;J. Algebra,1976
3. Howie, J.M. (1995). Fundamentals of Semigroup Theory, Clarendon Press.
4. On saturated Permutative Varieties and Consequences of Permutation Identities;Khan;J. Austral. Math. Soc.,1985
5. On Semigroup Species;Kopamu;Commun. Algebra,1995
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