Analysis of semigroups with soft intersection ideals

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.

Sprache:: Englisch

Zeitrahmen der Veröffentlichung:: 2 Hefte pro Jahr
Fachgebiete der Zeitschrift:: Mathematik, Mathematik, Allgemeines

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Analysis of semigroups with soft intersection ideals

Aslıhan Sezgin

Metin Orbay

Online veröffentlicht: 18. Nov. 2022

Seitenbereich: 166 - 210

Eingereicht: 12. Dez. 2020

DOI: https://doi.org/10.2478/ausm-2022-0012

Schlüsselwörtersoft set, soft intersection semigroup, soft intersection (interior, quasi, bi, generalized bi) ideal, semisimple semigroups, duo semigroups, semilattice of groups, soft normal semigroup

© 2022 Aslıhan Sezgin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Schlüsselwörter
soft set, soft intersection semigroup, soft intersection (interior, quasi, bi, generalized bi) ideal, semisimple semigroups, duo semigroups, semilattice of groups, soft normal semigroup