VAGUE RINGS AND VAGUE IDEALS

Sezer S.

IRANIAN JOURNAL OF FUZZY SYSTEMS, vol.8, no.1, pp.145-157, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 1
  • Publication Date: 2011
  • Journal Name: IRANIAN JOURNAL OF FUZZY SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.145-157
  • Keywords: Vague group, Generalized vague subgroup, Vague ring, Vague subring, Vague ideal, Vague prime ideal, Vague maximal ideal, VALUED EQUIVALENCE-RELATIONS, FUZZY FUNCTIONS, ARITHMETIC OPERATIONS, ALGEBRAIC NOTIONS, FOUNDATIONS
  • Akdeniz University Affiliated: Yes

Abstract

In this paper, various elementary properties of vague rings are obtained. Furthermore, the concepts of vague subring, vague ideal, vague prime ideal and vague maximal ideal are introduced, and the validity of some relevant classical results in these settings are investigated.