Radical Structures of Fuzzy Polynomial Ideals in a Ring

Hee Sik Kim, Chang Bum Kim and Keum Sook So

Discrete Dynamics in Nature and Society, 2016, vol. 2016, issue 1

Abstract: 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.

Date: 2016
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https://doi.org/10.1155/2016/7821678

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnddns:v:2016:y:2016:i:1:n:7821678

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