Soft substructures of rings, fields and modules
COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol.61, no.3, pp.592-601, 2011 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 61 Issue: 3
- Publication Date: 2011
- Doi Number: 10.1016/j.camwa.2010.12.005
- Journal Name: COMPUTERS & MATHEMATICS WITH APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.592-601
- Yozgat Bozok University Affiliated: Yes
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.