Applications of Soft Union Sets in the Ring Theory

Yongwei Yang, Xiaolong Xin and Pengfei He

Journal of Applied Mathematics, 2013, vol. 2013, 1-9

Abstract:

The aim of the paper is to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties. In order to provide these soft algebraic structures, the notion of -soft union rings which is a generalization of that of soft union rings is proposed. By introducing the notion of soft cosets, soft quotient rings based on -soft union ideals are established. Moreover, through discussing quotient soft subsets, an approach for constructing quotient soft union rings is made. Finally, isomorphism theorems of -soft union rings related to invariant soft sets are discussed.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:474890

DOI: 10.1155/2013/474890

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