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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| Format: | Article |
| Language: | English |
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Hindawi Limited
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/7821678 |
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doaj-2051b74ee82849258f4da0dc11e94f762020-11-24T22:18:44ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/78216787821678Radical Structures of Fuzzy Polynomial Ideals in a RingHee Sik Kim0Chang Bum Kim1Keum Sook So2Department of Mathematics, Hanyang University, Seoul 133-791, Republic of KoreaDepartment of Mathematics, Kookmin University, Seoul 136-702, Republic of KoreaDepartment of Mathematics, Hallym University, Chuncheon 200-702, Republic of KoreaWe 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.http://dx.doi.org/10.1155/2016/7821678 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hee Sik Kim Chang Bum Kim Keum Sook So |
| spellingShingle |
Hee Sik Kim Chang Bum Kim Keum Sook So Radical Structures of Fuzzy Polynomial Ideals in a Ring Discrete Dynamics in Nature and Society |
| author_facet |
Hee Sik Kim Chang Bum Kim Keum Sook So |
| author_sort |
Hee Sik Kim |
| title |
Radical Structures of Fuzzy Polynomial Ideals in a Ring |
| title_short |
Radical Structures of Fuzzy Polynomial Ideals in a Ring |
| title_full |
Radical Structures of Fuzzy Polynomial Ideals in a Ring |
| title_fullStr |
Radical Structures of Fuzzy Polynomial Ideals in a Ring |
| title_full_unstemmed |
Radical Structures of Fuzzy Polynomial Ideals in a Ring |
| title_sort |
radical structures of fuzzy polynomial ideals in a ring |
| publisher |
Hindawi Limited |
| series |
Discrete Dynamics in Nature and Society |
| issn |
1026-0226 1607-887X |
| publishDate |
2016-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2016/7821678 |
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AT heesikkim radicalstructuresoffuzzypolynomialidealsinaring AT changbumkim radicalstructuresoffuzzypolynomialidealsinaring AT keumsookso radicalstructuresoffuzzypolynomialidealsinaring |
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