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Soft Union Ring and its Applications to Ring Theory

by Mesut Tunc¸ay, Aslihan Sezgin
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 151 - Number 9
Year of Publication: 2016
Authors: Mesut Tunc¸ay, Aslihan Sezgin
10.5120/ijca2016911867

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 },
issue_date = { Oct 2016 },
volume = { 151 },
number = { 9 },
month = { Oct },
year = { 2016 },
issn = { 0975-8887 },
pages = { 7-13 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume151/number9/26259-2016911867/ },
doi = { 10.5120/ijca2016911867 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:56:37.665497+05:30
%A Mesut Tunc¸ay
%A Aslihan Sezgin
%T Soft Union Ring and its Applications to Ring Theory
%J International Journal of Computer Applications
%@ 0975-8887
%V 151
%N 9
%P 7-13
%D 2016
%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

Keywords

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

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