Soft substructures of rings, fields and modules


Atagun A. O. , SEZGİN SEZER A.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol.61, no.3, pp.592-601, 2011 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 61 Issue: 3
  • Publication Date: 2011
  • Doi Number: 10.1016/j.camwa.2010.12.005
  • Title of Journal : COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Page Numbers: pp.592-601

Abstract

tool to deal with uncertainties. In this paper, we introduce and study soft subrings and soft ideals of a ring by using Molodtsov's definition of the soft sets. Moreover, we introduce soft Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical subfields of a field and soft submodule of a left R-module. Some related properties about soft substructures of rings, fields and modules are investigated and illustrated by many examples. (C) 2010 Elsevier Ltd. All rights reserved.