Analysis of semigroups with soft intersection ideals

Aslıhan Sezgin; Metin Orbay

doi:10.2478/ausm-2022-0012

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Analysis of semigroups with soft intersection ideals

Acta Universitatis Sapientiae, Mathematica

Volume 14 (2022): Issue 1 (November 2022)

By: Aslıhan Sezgin and Metin Orbay

Open Access

|Nov 2022

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Abstract

In this paper, semisimple semigroups, duo semigroups, right (left) zero semigroups, right (left) simple semigroups, semilattice of left (right) simple semigroups, semilattice of left (right) groups and semilattice of groups are characterized in terms of soft intersection semigroups, soft intersection ideals of semigroups. Moreover, soft normal semigroups are defined and some characterizations of semigroups with soft normality are given.

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Articles in this issue

DOI: https://doi.org/10.2478/ausm-2022-0012 | Journal eISSN: 2066-7752

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Language: English

Page range: 166 - 210

Submitted on: Dec 12, 2020

Published online: Nov 18, 2022

Published in print: Nov 1, 2022

Published by: Sapientia Hungarian University of Transylvania

In partnership with: Paradigm Publishing Services

Keywords:

soft set,

soft intersection semigroup,

soft intersection (interior, quasi, bi, generalized bi) ideal,

semisimple semigroups,

duo semigroups,

semilattice of groups,

soft normal semigroup

MSC:

20M12

Related subjects:

Mathematics,

General mathematics

© 2022 Aslıhan Sezgin, Metin Orbay, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 14 (2022): Issue 1 (November 2022)