Soft Intersection Semigroups, Ideals and Bi-Ideals; a New Application on Semigroup Theory I

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SEZGİN SEZER A., ÇAĞMAN N., Atagun A. O., Ali M. I., TÜRKMEN E.

FILOMAT, vol.29, no.5, pp.917-946, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 29 Issue: 5
  • Publication Date: 2015
  • Doi Number: 10.2298/fil1505917s
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.917-946
  • Yozgat Bozok University Affiliated: Yes

Abstract

In this paper, we define soft intersection semigroups, soft intersection left (right, two-sided) ideals and bi-ideals of semigroups, give their properties and interrelations and we characterize regular, intra-regular, completely regular, weakly regular and quasi-regular semigroups in terms of these ideals.