Soft Union Ring and its Applications to Ring Theory

Mesut Tunc¸Ay; Aslihan Sezgin

Research Article

Soft Union Ring and its Applications to Ring Theory

by Mesut Tunc¸Ay, Aslihan Sezgin

International Journal of Computer Applications

Foundation of Computer Science (FCS), NY, USA

Volume 151 - Issue 9

Published: Oct 2016

Authors: Mesut Tunc¸Ay, Aslihan Sezgin

10.5120/ijca2016911867

PDF

Mesut Tunc¸Ay, Aslihan Sezgin . Soft Union Ring and its Applications to Ring Theory. International Journal of Computer Applications. 151, 9 (Oct 2016), 7-13. DOI=10.5120/ijca2016911867

                        @article{ 10.5120/ijca2016911867,
                        author  = { Mesut Tunc¸Ay,Aslihan Sezgin },
                        title   = { Soft Union Ring and its Applications to Ring Theory },
                        journal = { International Journal of Computer Applications },
                        year    = { 2016 },
                        volume  = { 151 },
                        number  = { 9 },
                        pages   = { 7-13 },
                        doi     = { 10.5120/ijca2016911867 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }

                        %0 Journal Article
                        %D 2016
                        %A Mesut Tunc¸Ay
                        %A Aslihan Sezgin
                        %T Soft Union Ring and its Applications to Ring Theory%T 
                        %J International Journal of Computer Applications
                        %V 151
                        %N 9
                        %P 7-13
                        %R 10.5120/ijca2016911867
                        %I Foundation of Computer Science (FCS), NY, USA

Abstract

In this paper, soft union ring (SU-ring) on a soft set is defined by using union operation of sets. This new concept shows how a soft set effects on a ring structure in the mean of union and inclusion of sets and from this overview, it functions as a bridge among soft set theory, set theory and ring theory. Then, its basic properties are derived and the relationship between soft intersection ring defined in [N. C¸agman and F. C¸itak and H. Aktas¸, Soft intrings and its algebraic applications, Journal of Intelligent and Fuzzy Systems, 28 (3): 1225-1233 (2015)] and SU-ring are investigated. Furthermore, we give the applications of SU-ring to ring theory.

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Index Terms

Computer Science

Information Sciences

No index terms available.

Keywords

Soft sets SU-rings sub-SU-rings SU-ideals soft anti-images soft pre-images α-inclusions.