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Applications of Soft Union Sets in the Ring Theory

Author

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  • Yongwei Yang
  • Xiaolong Xin
  • Pengfei He

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.

Suggested Citation

  • Yongwei Yang & Xiaolong Xin & Pengfei He, 2013. "Applications of Soft Union Sets in the Ring Theory," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-9, December.
    • Handle: RePEc:hin:jnljam:474890
    DOI: 10.1155/2013/474890
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