New Perspectives in Algebraic Systems Theory

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Algebra, Geometry and Topology".

Deadline for manuscript submissions: closed (31 October 2024) | Viewed by 1805

Special Issue Editor


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Guest Editor
Department of Mathematics, Bar-Ilan University, Ramat Gan 5290002, Israel
Interests: algebra; ring theory; semigroup theory; polynomial automorphisms; quantization; symbolical dynamic; combinatorics of words; combinatorial geometry and its mechanical applications; mathematical education

Special Issue Information

Dear Colleagues,

This Special Issue deals with algebraic systems theory and multi signature algebras. We are interested in relations with non-associative theory and differential geometry, including Novikov algebras, Lie and Maltzev algebras, theory of alternative and Jordan algebras. 

On the other hand, we are interested in model theory, results of the Boris Plotkin school and the Maltzev–Ershov school, as well as geometric ethereality and other logical interpretations including complexity theory. Algebraic systems have applications in database science and other branches of computer science.

We are also interested in quantization, Operad theory and other mainstream aspects and applications to polynomial endomorphism theory.

Prof. Dr. Alexei Kanel-Belov
Guest Editor

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Keywords

  • model theory
  • Malcev algebras
  • geometrical netheraty
  • database
  • universal algebra
  • Operad theory
  • polynomial automorphisms
  • Specht problem
  • Gelfand conjecture

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Published Papers (1 paper)

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Research

10 pages, 271 KiB  
Article
Saturated (n, m)-Regular Semigroups
by Amal S. Alali, Sakeena Bano and Muneer Nabi
Mathematics 2023, 11(9), 2203; https://doi.org/10.3390/math11092203 - 7 May 2023
Cited by 1 | Viewed by 1292
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 [...] Read more.
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 1kn, 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. Full article
(This article belongs to the Special Issue New Perspectives in Algebraic Systems Theory)
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