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Published in:   Vol. 7 Issue 2 Date of Publication:   December 2018

Fuzzy Quasi Regular Ring

Shrooq Bahjat Smeein

Page(s):   90-92 ISSN:   2278-2397
DOI:   10.20894/IJDMTA.102.007.002.007 Publisher:   Integrated Intelligent Research (IIR)

Let R be a commutative ring with unity. In this paper we introduce and study Fuzzy Quasi regular ring as generalizations of (ordinary) Quasi regular ring. We give some basic properties about these concepts. The notation of Fuzzy subset was introduced by L.A.Zadeh. His seminar paper in 1965 has opened up new insights and applications in a wide range of scientific fields. Liu has studies Fuzzy ideals and Fuzzy ring. Regular rings were presented by Skornyakov as a generalization this to concept (Nicholson) gave the concept of Quasi regular ring . We present Fuzzy Quasi regular ring by extending the notation of (ordinary) Quasi regular ring. We give some basic results about Fuzzy Quasi regular ring. Also we study the holomorphic image of Fuzzy Quasi regular ring.