Analysis of semigroups with soft intersection ideals

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Sezgin A., Orbay M.

Acta Universitatis Sapientiae, Mathematica, vol.14, no.1, pp.166-210, 2022 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.2478/ausm-2022-0012
  • Journal Name: Acta Universitatis Sapientiae, Mathematica
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.166-210
  • Keywords: duo semigroups, semilattice of groups, semisimple semigroups, soft intersection (interior, quasi, bi, generalized bi) ideal, soft intersection semigroup, soft normal semigroup, soft set
  • Ankara Haci Bayram Veli University Affiliated: No

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.