Fuzzy isomorphism theorems of soft rings
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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.
KeywordsSoft rings Fuzzy ideals Quotient rings Fuzzy isomorphism theorems
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).
- 8.Liu X, Xiang D, Zhan J, Shum KP, Isomorphism theorems for soft rings. Algebra Colloquium (in press)Google Scholar