A new view of fuzzy ideals in Upgamma-rings |
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| Authors: | Xueling Ma Jianming Zhan Young Bae Jun |
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| Affiliation: | 1. Department of Mathematics, Hubei University for Nationalities, 445000, Enshi, Hubei Province, China
2. Department of Mathematics Education, Gyeongsang National University, Chinju, 660-701, Korea
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| Abstract: | By means of a kind of new idea, we redefine fuzzy ideals and fuzzy interior ideals in a $Upgamma$ -ring and investigate some of their related properties. In particular, we show that the regular and semisimple $Upgamma$ -rings can be described by using these kinds of generalized fuzzy ideals. |
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