A New Type Fuzzy Module over Fuzzy Rings
A new kind of fuzzy module over a fuzzy ring is introduced by generalizing Yuan and Lee’s definition of the fuzzy group and Aktaş and Çağman’s definition of fuzzy ring. The concepts of fuzzy submodule, and fuzzy module homomorphism are studied and some of their basic properties are presented analogo...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/730932 |
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| _version_ | 1832556894898618368 |
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| author | Ece Yetkin Necati Olgun |
| author_facet | Ece Yetkin Necati Olgun |
| author_sort | Ece Yetkin |
| collection | DOAJ |
| description | A new kind of fuzzy module over a fuzzy ring is introduced by generalizing Yuan and Lee’s definition of the fuzzy group and Aktaş and Çağman’s definition of fuzzy ring. The concepts of fuzzy submodule, and fuzzy module homomorphism are studied and some of their basic properties are presented analogous of ordinary module theory. |
| format | Article |
| id | doaj-art-6cc872e88ae840178284da00df717e9a |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-6cc872e88ae840178284da00df717e9a2025-02-03T05:44:06ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/730932730932A New Type Fuzzy Module over Fuzzy RingsEce Yetkin0Necati Olgun1Department of Mathematics, Faculty of Sciences and Arts, Marmara University, İstanbul, TurkeyDepartment of Mathematics, Faculty of Sciences and Arts, Gaziantep University, Gaziantep, TurkeyA new kind of fuzzy module over a fuzzy ring is introduced by generalizing Yuan and Lee’s definition of the fuzzy group and Aktaş and Çağman’s definition of fuzzy ring. The concepts of fuzzy submodule, and fuzzy module homomorphism are studied and some of their basic properties are presented analogous of ordinary module theory.http://dx.doi.org/10.1155/2014/730932 |
| spellingShingle | Ece Yetkin Necati Olgun A New Type Fuzzy Module over Fuzzy Rings The Scientific World Journal |
| title | A New Type Fuzzy Module over Fuzzy Rings |
| title_full | A New Type Fuzzy Module over Fuzzy Rings |
| title_fullStr | A New Type Fuzzy Module over Fuzzy Rings |
| title_full_unstemmed | A New Type Fuzzy Module over Fuzzy Rings |
| title_short | A New Type Fuzzy Module over Fuzzy Rings |
| title_sort | new type fuzzy module over fuzzy rings |
| url | http://dx.doi.org/10.1155/2014/730932 |
| work_keys_str_mv | AT eceyetkin anewtypefuzzymoduleoverfuzzyrings AT necatiolgun anewtypefuzzymoduleoverfuzzyrings AT eceyetkin newtypefuzzymoduleoverfuzzyrings AT necatiolgun newtypefuzzymoduleoverfuzzyrings |