Open Access
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


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.


Download Citation

Yongwei Yang. Xiaolong Xin. Pengfei He. "Applications of Soft Union Sets in the Ring Theory." J. Appl. Math. 2013 1 - 9, 2013.


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

Vol.2013 • 2013
Back to Top