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 ¸ıtak 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.
Authors: Mesut Tunc ̧ay, Aslıhan Sezgin
DOI: https://doi.org/10.5120/ijca2016911867
Publish Year: 2016
