On minimal artinian modules and minimal artinian linear groups
The paper is devoted to the study of some important types of minimal artinian linear groups. The authors prove that in such classes of groups as hypercentral groups (so also, nilpotent and abelian groups) and FC-groups, minimal artinian linear groups have precisely the same structure as the correspo...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201007165 |
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| _version_ | 1832551787992711168 |
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| author | Leonid A. Kurdachenko Igor Ya. Subbotin |
| author_facet | Leonid A. Kurdachenko Igor Ya. Subbotin |
| author_sort | Leonid A. Kurdachenko |
| collection | DOAJ |
| description | The paper is devoted to the study of some important types of
minimal artinian linear groups. The authors prove that in such classes of groups as hypercentral groups (so also, nilpotent and abelian groups) and FC-groups, minimal artinian linear groups have precisely the same structure as the corresponding irreducible linear groups. |
| format | Article |
| id | doaj-art-19b02680da5b4928914cc0069aaeea5f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-19b02680da5b4928914cc0069aaeea5f2025-02-03T06:00:28ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01271270771410.1155/S0161171201007165On minimal artinian modules and minimal artinian linear groupsLeonid A. Kurdachenko0Igor Ya. Subbotin1Mathematics Department, Dnepropetrovsk University, Provulok Naukovyi 13, Dnepropetrovsk 49050, UkraineMathematics Department, National University, 9920 S. La Cienega Blvd, Inglewood 90301, CA, USAThe paper is devoted to the study of some important types of minimal artinian linear groups. The authors prove that in such classes of groups as hypercentral groups (so also, nilpotent and abelian groups) and FC-groups, minimal artinian linear groups have precisely the same structure as the corresponding irreducible linear groups.http://dx.doi.org/10.1155/S0161171201007165 |
| spellingShingle | Leonid A. Kurdachenko Igor Ya. Subbotin On minimal artinian modules and minimal artinian linear groups International Journal of Mathematics and Mathematical Sciences |
| title | On minimal artinian modules and minimal artinian linear groups |
| title_full | On minimal artinian modules and minimal artinian linear groups |
| title_fullStr | On minimal artinian modules and minimal artinian linear groups |
| title_full_unstemmed | On minimal artinian modules and minimal artinian linear groups |
| title_short | On minimal artinian modules and minimal artinian linear groups |
| title_sort | on minimal artinian modules and minimal artinian linear groups |
| url | http://dx.doi.org/10.1155/S0161171201007165 |
| work_keys_str_mv | AT leonidakurdachenko onminimalartinianmodulesandminimalartinianlineargroups AT igoryasubbotin onminimalartinianmodulesandminimalartinianlineargroups |