Applications of Soft Union Sets in the Ring Theory

Yongwei Yang, Xiaolong Xin and Pengfei He

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

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 (λ, μ)‐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 (λ, μ)‐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 (λ, μ)‐soft union rings related to invariant soft sets are discussed.

Date: 2013
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https://doi.org/10.1155/2013/474890

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:474890

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