Soft Intersection Interior Ideals, Quasi-ideals and Generalized Bi-Ideals; A New Approach to Semigroup Theory II

SEZGİN SEZER A., ÇAĞMAN N., Atagun A. O.

JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, vol.23, pp.161-207, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 23
  • Publication Date: 2014
  • Journal Name: JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.161-207
  • Yozgat Bozok University Affiliated: Yes

Abstract

In this paper, we define soft intersection interior ideals, quasi-ideals and generalized bi-ideals of semigroups, obtain their properties and give the interrelations of them. Moreover, we characterize regular, intra-regular, completely regular, weakly regular and quasi-regular semigroups in terms of these ideals.