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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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Hlavní autoři: Hee Sik Kim, Chang Bum Kim, Keum Sook So
Médium: Artigo
Jazyk:Inglês
Vydáno: Hindawi Limited 2016-01-01
Edice:Discrete Dynamics in Nature and Society
On-line přístup:http://dx.doi.org/10.1155/2016/7821678
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