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2013 Applications of Soft Union Sets in the Ring Theory
Yongwei Yang, Xiaolong Xin, Pengfei He
J. Appl. Math. 2013: 1-9 (2013). DOI: 10.1155/2013/474890

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.

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Yongwei Yang. Xiaolong Xin. Pengfei He. "Applications of Soft Union Sets in the Ring Theory." J. Appl. Math. 2013 1 - 9, 2013. https://doi.org/10.1155/2013/474890

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950695
MathSciNet: MR3133974
Digital Object Identifier: 10.1155/2013/474890

Rights: Copyright © 2013 Hindawi

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