Some Relations between Isologic and Varietal Perfect Groups
In 1940, Hall introduced the notion of V-isologism, with respect to a given variety of groups ϑ. In the present article, we study the concepts of V-perfect groups, V-subgroup, and V-quotient irreducible groups, with respect to a given variety of groups ϑ. Also we prove and obtain some results.
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2016/5093983 |
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| author | Shokufeh Lotfi S. Mostafa Taheri |
| author_facet | Shokufeh Lotfi S. Mostafa Taheri |
| author_sort | Shokufeh Lotfi |
| collection | DOAJ |
| description | In 1940, Hall introduced the notion of V-isologism, with respect to a given variety of groups ϑ. In the present article, we study the concepts of V-perfect groups, V-subgroup, and V-quotient irreducible groups, with respect to a given variety of groups ϑ. Also we prove and obtain some results. |
| format | Article |
| id | doaj-art-a2c12156f57e401ba35fcfcb6a68ba7f |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-a2c12156f57e401ba35fcfcb6a68ba7f2025-02-03T01:09:23ZengWileyJournal of Mathematics2314-46292314-47852016-01-01201610.1155/2016/50939835093983Some Relations between Isologic and Varietal Perfect GroupsShokufeh Lotfi0S. Mostafa Taheri1Faculty of Mathematics, Golestan University, Gorgan, IranFaculty of Mathematics, Golestan University, Gorgan, IranIn 1940, Hall introduced the notion of V-isologism, with respect to a given variety of groups ϑ. In the present article, we study the concepts of V-perfect groups, V-subgroup, and V-quotient irreducible groups, with respect to a given variety of groups ϑ. Also we prove and obtain some results.http://dx.doi.org/10.1155/2016/5093983 |
| spellingShingle | Shokufeh Lotfi S. Mostafa Taheri Some Relations between Isologic and Varietal Perfect Groups Journal of Mathematics |
| title | Some Relations between Isologic and Varietal Perfect Groups |
| title_full | Some Relations between Isologic and Varietal Perfect Groups |
| title_fullStr | Some Relations between Isologic and Varietal Perfect Groups |
| title_full_unstemmed | Some Relations between Isologic and Varietal Perfect Groups |
| title_short | Some Relations between Isologic and Varietal Perfect Groups |
| title_sort | some relations between isologic and varietal perfect groups |
| url | http://dx.doi.org/10.1155/2016/5093983 |
| work_keys_str_mv | AT shokufehlotfi somerelationsbetweenisologicandvarietalperfectgroups AT smostafataheri somerelationsbetweenisologicandvarietalperfectgroups |