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Soft Union Ring and its Applications to Ring Theory

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

Mesut Tunc¸ay and Aslihan Sezgin. Soft Union Ring and its Applications to Ring Theory. International Journal of Computer Applications 151(9):7-13, October 2016. BibTeX

@article{10.5120/ijca2016911867,
	author = {Mesut Tunc¸ay and Aslihan Sezgin},
	title = {Soft Union Ring and its Applications to Ring Theory},
	journal = {International Journal of Computer Applications},
	issue_date = {October 2016},
	volume = {151},
	number = {9},
	month = {Oct},
	year = {2016},
	issn = {0975-8887},
	pages = {7-13},
	numpages = {7},
	url = {http://www.ijcaonline.org/archives/volume151/number9/26259-2016911867},
	doi = {10.5120/ijca2016911867},
	publisher = {Foundation of Computer Science (FCS), NY, USA},
	address = {New York, 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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Keywords

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