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

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

APPLIED SOFT COMPUTING, cilt.54, ss.366-392, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1016/j.asoc.2016.10.004
  • Dergi Adı: APPLIED SOFT COMPUTING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.366-392
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

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.