Radical Structures of Fuzzy Polynomial Ideals in a Ring

Hee Sik Kim, Chang Bum Kim, Keum Sook So

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 f x is the induced homomorphism of f, that is, f x (i = 0 n a i x i) = i = 0 n f (a i) x i, then f x - 1 [ (β) x ] = (f - 1 (β)) x.

Original languageEnglish
Article number7821678
JournalDiscrete Dynamics in Nature and Society
Volume2016
DOIs
StatePublished - 2016 Jan 1

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Polynomial Ideals
Fuzzy Ideal
Polynomials
Ring
Homomorphism

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Radical Structures of Fuzzy Polynomial Ideals in a Ring. / Kim, Hee Sik; Kim, Chang Bum; So, Keum Sook.

In: Discrete Dynamics in Nature and Society, Vol. 2016, 7821678, 01.01.2016.

Research output: Contribution to journalArticle

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