A type of strongly regular rings

Abstract

In this study, using Yuan and Lee’s definition of fuzzy group based on fuzzy binary operation and Aktas and Cagman definition of fuzzy ring, we give a new kind of definition to (A : B). The concept of fuzzy regular and fuzzy left strongly regular are introduced and we create a new study on their basic properties equivalent to those of ordinary rings. We have shown that if (R, G, H) is strongly regular, then for any a ∈ R, left annihilator of “a” is an ideal.

Keywords

Ring theory regular rings ideals fuzzy algebraic structures

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