Saturated ( n, m )-Regular Semigroups

Amal S. Alali, Sakeena Bano and Muneer Nabi ()
Additional contact information
Amal S. Alali: Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Sakeena Bano: Department of Mathematics, Central University of Kashmir, Ganderbal 191201, India
Muneer Nabi: Department of Mathematics, Central University of Kashmir, Ganderbal 191201, India

Mathematics, 2023, vol. 11, issue 9, 1-10

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.

Keywords: dominions; epimorphisms; zigzag; saturated; structurally regular (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/9/2203/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/9/2203/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:9:p:2203-:d:1141340

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().