Radical Structures of Fuzzy Polynomial Ideals in a Ring

We investigate the radical structure of a fuzzy polynomial ideal induced by a fuzzy ideal of a ring and study its properties. Given a fuzzy ideal β of R and a homomorphism f:R→R′, we show that if fx is the induced homomorphism of f, that is, fx(∑i=0naixi)=∑i=0nf(ai)xi, then fx-1[(β)x]=(f-1(β))x....

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Bibliographic Details
Main Authors: Hee Sik Kim, Chang Bum Kim, Keum Sook So
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2016/7821678

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