Inverse transversal of ordered semigroups

In this paper, we introduce the concept of an inverse transversal for regular ordered semigroups and explore several properties of such inverse transversals. Specifically, we investigate inverse transversals in certain special classes of regular ordered semigroups, such as completely regular ordered semigroups, Clifford ordered semigroups, and group-like ordered semigroups, and we illustrate these concepts with examples.

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Publication Details

Journal
Asian-European Journal of Mathematics
Published
2025-12-11
DOI
https://doi.org/10.1142/s1793557125501517
Primary Topic
semigroups and automata theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Inverse transversal of ordered semigroups

Asian-European Journal of Mathematics
semigroups and automata theory
article

Inverse transversal of ordered semigroups

article en

Abstract

In this paper, we introduce the concept of an inverse transversal for regular ordered semigroups and explore several properties of such inverse transversals. Specifically, we investigate inverse transversals in certain special classes of regular ordered semigroups, such as completely regular ordered semigroups, Clifford ordered semigroups, and group-like ordered semigroups, and we illustrate these concepts with examples.

Asian-European Journal of Mathematics
Cochin University of Science and Technology (IN)
Reduced inequalities
Openalex Percentile: Top 31%
semigroups and automata theory
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Inverse transversal of ordered semigroups · Asian-European Journal of Mathematics (2025) | TGRS Research Map | TGRS