A completely new view to soft intersection rings via soft uni-int product

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

APPLIED SOFT COMPUTING, vol.54, pp.366-392, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 54
  • Publication Date: 2017
  • Doi Number: 10.1016/j.asoc.2016.10.004
  • Journal Name: APPLIED SOFT COMPUTING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.366-392
  • Yozgat Bozok University Affiliated: Yes

Abstract

In this paper, we make a completely new approach to the classical ring theory via soft set theory, with the concept of soft intersection rings, ideals, (generalized) bi-ideals, interior ideals and quasi-ideals. Particularly, we define soft union-intersection product and obtain the relationship between this new concept and soft intersection ring and its different ideals. Moreover, we characterize regular, regular duo, intra-regular and strongly regular rings by soft intersection rings and ideals. (C) 2016 Elsevier B.V. All rights reserved.