Solvable groups derived from fuzzy hypergroups
In this paper we introduce the smallest equivalence relation ξ ∗ on a finite fuzzy hypergroup S such that the quotient group S/ξ ∗ , the set of all equivalence classes, is a solvable group. The characterization of solvable groups via strongly regular relation is investigated and several results on t...
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| Format: | Article |
| Language: | English |
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Accademia Piceno Aprutina dei Velati
2015-12-01
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| Series: | Ratio Mathematica |
| Subjects: | |
| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/22 |
| _version_ | 1828761503975604224 |
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| author | E. Mohammadzadeh T. Nozari |
| author_facet | E. Mohammadzadeh T. Nozari |
| author_sort | E. Mohammadzadeh |
| collection | DOAJ |
| description | In this paper we introduce the smallest equivalence relation ξ ∗ on a finite fuzzy hypergroup S such that the quotient group S/ξ ∗ , the set of all equivalence classes, is a solvable group. The characterization of solvable groups via strongly regular relation is investigated and several results on the topic are presented. |
| first_indexed | 2024-12-11T01:30:17Z |
| format | Article |
| id | doaj.art-e76bc09eef2845d089cb8efda3cc4ef7 |
| institution | Directory Open Access Journal |
| issn | 1592-7415 2282-8214 |
| language | English |
| last_indexed | 2024-12-11T01:30:17Z |
| publishDate | 2015-12-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj.art-e76bc09eef2845d089cb8efda3cc4ef72022-12-22T01:25:23ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142015-12-01291536410.23755/rm.v29i1.2226Solvable groups derived from fuzzy hypergroupsE. Mohammadzadeh0T. Nozari1Department of Mathematics, Faculty of Science, Payame Noor University, P.O. Box 19395-3697, Tehran, IranDepartment of Mathematics, Golestan University, Gorgan, IranIn this paper we introduce the smallest equivalence relation ξ ∗ on a finite fuzzy hypergroup S such that the quotient group S/ξ ∗ , the set of all equivalence classes, is a solvable group. The characterization of solvable groups via strongly regular relation is investigated and several results on the topic are presented.http://eiris.it/ojs/index.php/ratiomathematica/article/view/22Fuzzy hypergroups, strongly regular relation, solv- able groups, fundamental relation. |
| spellingShingle | E. Mohammadzadeh T. Nozari Solvable groups derived from fuzzy hypergroups Ratio Mathematica Fuzzy hypergroups, strongly regular relation, solv- able groups, fundamental relation. |
| title | Solvable groups derived from fuzzy hypergroups |
| title_full | Solvable groups derived from fuzzy hypergroups |
| title_fullStr | Solvable groups derived from fuzzy hypergroups |
| title_full_unstemmed | Solvable groups derived from fuzzy hypergroups |
| title_short | Solvable groups derived from fuzzy hypergroups |
| title_sort | solvable groups derived from fuzzy hypergroups |
| topic | Fuzzy hypergroups, strongly regular relation, solv- able groups, fundamental relation. |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/22 |
| work_keys_str_mv | AT emohammadzadeh solvablegroupsderivedfromfuzzyhypergroups AT tnozari solvablegroupsderivedfromfuzzyhypergroups |