, Volume 46, Issue 3-4, pp 165-177
Date: 06 Feb 2007

A type of fuzzy ring

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Abstract

In this study, by the use of Yuan and Lee’s definition of the fuzzy group based on fuzzy binary operation we give a new kind of fuzzy ring. The concept of fuzzy subring, fuzzy ideal and fuzzy ring homomorphism are introduced, and we make a theoretical study their basic properties analogous to those of ordinary rings.