ON FUZZY-⨁-S-MODULES
A module M is a ⨁-Supplemented if M=⨁Ni such that Ni is a direct summand of M. In this paper we introduce the notion of Fuzzy ⨁-Supplemented Module (Fuz-⨁-S-Mod) as a generalization of ⨁-supplemented module. We investigate several characterizations and properties of this concept. Moreover we investi...
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| Format: | Article |
| Language: | English |
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University of Anbar
2018-03-01
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| Series: | مجلة جامعة الانبار للعلوم الصرفة |
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| Online Access: | https://juaps.uoanbar.edu.iq/article_141590_6052a1367ae12996f2f960303ef662c5.pdf |
| _version_ | 1797373179976482816 |
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| author | Majid M. Abed |
| author_facet | Majid M. Abed |
| author_sort | Majid M. Abed |
| collection | DOAJ |
| description | A module M is a ⨁-Supplemented if M=⨁Ni such that Ni is a direct summand of M. In this paper we introduce the notion of Fuzzy ⨁-Supplemented Module (Fuz-⨁-S-Mod) as a generalization of ⨁-supplemented module. We investigate several characterizations and properties of this concept. Moreover we investigated several relationships among Fuz-⨁-S-Mod and other Fuzzy concepts such as fuzzy D1-module (Fuz-D1-module), Fuzzy Lifting Module (Fuz-L-mod) and Amply Fuzzy Supplemented module (A-Fuz-S-mod) are studied. |
| first_indexed | 2024-03-08T18:46:35Z |
| format | Article |
| id | doaj.art-044b1bb4b19a46d0b5f7c62cdc4083c1 |
| institution | Directory Open Access Journal |
| issn | 1991-8941 2706-6703 |
| language | English |
| last_indexed | 2024-03-08T18:46:35Z |
| publishDate | 2018-03-01 |
| publisher | University of Anbar |
| record_format | Article |
| series | مجلة جامعة الانبار للعلوم الصرفة |
| spelling | doaj.art-044b1bb4b19a46d0b5f7c62cdc4083c12023-12-28T21:59:06ZengUniversity of Anbarمجلة جامعة الانبار للعلوم الصرفة1991-89412706-67032018-03-01112576010.37652/juaps.2017.141590141590ON FUZZY-⨁-S-MODULESMajid M. Abed0University of Anbar- College of Education for Pure SciencesA module M is a ⨁-Supplemented if M=⨁Ni such that Ni is a direct summand of M. In this paper we introduce the notion of Fuzzy ⨁-Supplemented Module (Fuz-⨁-S-Mod) as a generalization of ⨁-supplemented module. We investigate several characterizations and properties of this concept. Moreover we investigated several relationships among Fuz-⨁-S-Mod and other Fuzzy concepts such as fuzzy D1-module (Fuz-D1-module), Fuzzy Lifting Module (Fuz-L-mod) and Amply Fuzzy Supplemented module (A-Fuz-S-mod) are studied.https://juaps.uoanbar.edu.iq/article_141590_6052a1367ae12996f2f960303ef662c5.pdffuzzy modulefuzzy submodulefuzzy supplementfuzzy dmodulefuzzy semisimple module |
| spellingShingle | Majid M. Abed ON FUZZY-⨁-S-MODULES مجلة جامعة الانبار للعلوم الصرفة fuzzy module fuzzy submodule fuzzy supplement fuzzy d module fuzzy semisimple module |
| title | ON FUZZY-⨁-S-MODULES |
| title_full | ON FUZZY-⨁-S-MODULES |
| title_fullStr | ON FUZZY-⨁-S-MODULES |
| title_full_unstemmed | ON FUZZY-⨁-S-MODULES |
| title_short | ON FUZZY-⨁-S-MODULES |
| title_sort | on fuzzy ⨁ s modules |
| topic | fuzzy module fuzzy submodule fuzzy supplement fuzzy d module fuzzy semisimple module |
| url | https://juaps.uoanbar.edu.iq/article_141590_6052a1367ae12996f2f960303ef662c5.pdf |
| work_keys_str_mv | AT majidmabed onfuzzysmodules |