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Neural Computing and Applications

, Volume 21, Issue 2, pp 391–397 | Cite as

Fuzzy isomorphism theorems of soft rings

  • Xianping Liu
  • Dajing Xiang
  • Jianming Zhan
Original Article

Abstract

The concepts of fuzzy ideals of soft rings are introduced. The first, second and third fuzzy isomorphism theorems of soft rings are established respectively. In particular, some classes of quotient rings are characterized by their fuzzy ideals.

Keywords

Soft rings Fuzzy ideals Quotient rings Fuzzy isomorphism theorems 

Notes

Acknowledgments

The authors are extremely grateful to the referees for giving them many valuable comments and helpful suggestions, which help to improve the presentation of this paper. This research was supported by National Natural Science Foundation of China (60875034), the Natural Science Foundation of Education Committee of Hubei Province, China (D20092901), and the Natural Science Foundation of Hubei Province, China (2009CDB340).

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Copyright information

© Springer-Verlag London Limited 2010

Authors and Affiliations

  1. 1.Department of MathematicsHubei Institute for NationalitiesEnshiChina

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