Fuzzy Semimaximal ideals
Let R be a commutative ring with identity. A proper ideal I of R is called semimaximal if I is a finite intersection of maximal ideals of R. In this paper we fuzzify this concept to fuzzy ideals of R, where a fuzzy ideal A of R is called semimaximal if A is a finite intersection of fuzzy maxima...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Baghdad
2017-08-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/1241 |
| _version_ | 1818192146615762944 |
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| author | I, M.A. Hadi M. A. Hamil |
| author_facet | I, M.A. Hadi M. A. Hamil |
| author_sort | I, M.A. Hadi |
| collection | DOAJ |
| description |
Let R be a commutative ring with identity. A proper ideal I of R is called semimaximal if I is a finite intersection of maximal ideals of R. In this paper we fuzzify this concept to fuzzy ideals of R, where a fuzzy ideal A of R is called semimaximal if A is a finite intersection of fuzzy maximal ideals. Various basic properties are given. Moreover some examples are given to illustrate this concept.
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| first_indexed | 2024-12-12T00:25:52Z |
| format | Article |
| id | doaj.art-1666936d0fc64a4db76dd2dd5ff79e22 |
| institution | Directory Open Access Journal |
| issn | 1609-4042 2521-3407 |
| language | English |
| last_indexed | 2024-12-12T00:25:52Z |
| publishDate | 2017-08-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj.art-1666936d0fc64a4db76dd2dd5ff79e222022-12-22T00:44:37ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072017-08-01222Fuzzy Semimaximal idealsI, M.A. HadiM. A. Hamil Let R be a commutative ring with identity. A proper ideal I of R is called semimaximal if I is a finite intersection of maximal ideals of R. In this paper we fuzzify this concept to fuzzy ideals of R, where a fuzzy ideal A of R is called semimaximal if A is a finite intersection of fuzzy maximal ideals. Various basic properties are given. Moreover some examples are given to illustrate this concept. https://jih.uobaghdad.edu.iq/index.php/j/article/view/1241 |
| spellingShingle | I, M.A. Hadi M. A. Hamil Fuzzy Semimaximal ideals Ibn Al-Haitham Journal for Pure and Applied Sciences |
| title | Fuzzy Semimaximal ideals |
| title_full | Fuzzy Semimaximal ideals |
| title_fullStr | Fuzzy Semimaximal ideals |
| title_full_unstemmed | Fuzzy Semimaximal ideals |
| title_short | Fuzzy Semimaximal ideals |
| title_sort | fuzzy semimaximal ideals |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/1241 |
| work_keys_str_mv | AT imahadi fuzzysemimaximalideals AT mahamil fuzzysemimaximalideals |