On Isomorphism Theorems of Fn -Polygroups
In this paper, the notion of fuzzy n-polygroups (Fn -polygroups) is introduced and some related properties are investigated. In this regards, the concepts of normal F-subpolygroups and homomorphisms of Fn-polygroups are adopted. Also, the quotient of Fn-polygroups by defining regular relations are...
| 出版年: | Journal of Sciences, Islamic Republic of Iran |
|---|---|
| 第一著者: | |
| フォーマット: | 論文 |
| 言語: | 英語 |
| 出版事項: |
University of Tehran
2013-09-01
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| 主題: | |
| オンライン･アクセス: | https://jsciences.ut.ac.ir/article_35641_5c578a0ec6bfd1ad6d951075ade3595a.pdf |
| _version_ | 1849405044101742592 |
|---|---|
| author | B. Davvaz |
| author_facet | B. Davvaz |
| author_sort | B. Davvaz |
| collection | DOAJ |
| container_title | Journal of Sciences, Islamic Republic of Iran |
| description | In this paper, the notion of fuzzy n-polygroups (Fn -polygroups) is introduced and some related properties are investigated. In this regards, the concepts of normal F-subpolygroups and homomorphisms of Fn-polygroups are adopted. Also, the quotient of Fn-polygroups by defining regular relations are studied. Finally, the classical isomorphism theorems of groups are generalized to Fn-polygroups provided that the F-subpolygroups considered in them are normal. |
| format | Article |
| id | doaj-art-1c8b3fbfec164df8817551aeec79dde6 |
| institution | Directory of Open Access Journals |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 2013-09-01 |
| publisher | University of Tehran |
| record_format | Article |
| spelling | doaj-art-1c8b3fbfec164df8817551aeec79dde62025-08-20T03:53:51ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69142013-09-0124325926735641On Isomorphism Theorems of Fn -PolygroupsB. Davvaz0Department of Pure Mathematics, Faculty of Mathematics, Yazd University, Yazd, Islamic Republic of IranIn this paper, the notion of fuzzy n-polygroups (Fn -polygroups) is introduced and some related properties are investigated. In this regards, the concepts of normal F-subpolygroups and homomorphisms of Fn-polygroups are adopted. Also, the quotient of Fn-polygroups by defining regular relations are studied. Finally, the classical isomorphism theorems of groups are generalized to Fn-polygroups provided that the F-subpolygroups considered in them are normal.https://jsciences.ut.ac.ir/article_35641_5c578a0ec6bfd1ad6d951075ade3595a.pdfhyperstructurefuzzy setfn -hyperoperationfn -polygroupregular and strongly regular relations |
| spellingShingle | B. Davvaz On Isomorphism Theorems of Fn -Polygroups hyperstructure fuzzy set fn -hyperoperation fn -polygroup regular and strongly regular relations |
| title | On Isomorphism Theorems of Fn -Polygroups |
| title_full | On Isomorphism Theorems of Fn -Polygroups |
| title_fullStr | On Isomorphism Theorems of Fn -Polygroups |
| title_full_unstemmed | On Isomorphism Theorems of Fn -Polygroups |
| title_short | On Isomorphism Theorems of Fn -Polygroups |
| title_sort | on isomorphism theorems of fn polygroups |
| topic | hyperstructure fuzzy set fn -hyperoperation fn -polygroup regular and strongly regular relations |
| url | https://jsciences.ut.ac.ir/article_35641_5c578a0ec6bfd1ad6d951075ade3595a.pdf |
| work_keys_str_mv | AT bdavvaz onisomorphismtheoremsoffnpolygroups |