<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

Analysis of semigroups with soft intersection ideals

Department of Mathematics and Science Education

Acta Universitatis Sapientiae, Mathematica

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

{"article-title":"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...

Analysis of semigroups with soft intersection ideals

Published Online: Nov 18, 2022

Page range: 166 - 210

Received: Dec 12, 2020

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

Keywords
soft 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.

Analysis of semigroups with soft intersection ideals

Published Online: Nov 18, 2022

Page range: 166 - 210

Received: Dec 12, 2020

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

Keywordssoft 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.

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