| RINGS CHARACTERIZED BY THEIR FUZZY SUBMODULES |
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| 作者姓名： | J.Ahsan M.Farid Khan M.Shabir N.Zaman |
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| 作者单位： | Department of Mathematical Sciences King Fahd University of Petroleum & Minerals DHAHRAN:31261 SAUDI ARABIA，Department of Mathematics Quaid-I-Azam University ISLAMABAD PAKISTAN，Department of Mathematics Quaid-I-Azam University ISLAMABAD PAKISTAN，Department of Mathematics Quaid-I-Azam University ISLAMABAD PAKISTAN |
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| 摘 要： | The notions of pure ideals and pure submodules play an important role in the study of rings and their module categories. In this paper, we introduce pure fuzzy ideals and pure fuzzy submodules of an R-module. we establish their basic properties and use them to obtain fuzzy theoretic characterizations of right weakly regular rings. Among other results, we prove that a ring R is right weakly regular if and only if each fuzzy submodule of a oyclic R-module is fuzzy pure.
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