Rings of functions on non-abelian groups
For several classes of finite nonabelian groups we investigate the structure of the ring of functions, \({\mathcal{R}(C)}\), determined by the cover \(C\) of maximal abelian subgroups. We determine the Jacobson radical \(J({\mathcal{R}(C))}\) and the semisimple quotient ring \({\mathcal{R}(C)}/J({\m...
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| Дата: | 2018 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/769 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543269855428608 |
|---|---|
| author | Maxson, C. J. |
| author_facet | Maxson, C. J. |
| author_sort | Maxson, C. J. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-04T08:31:48Z |
| description | For several classes of finite nonabelian groups we investigate the structure of the ring of functions, \({\mathcal{R}(C)}\), determined by the cover \(C\) of maximal abelian subgroups. We determine the Jacobson radical \(J({\mathcal{R}(C))}\) and the semisimple quotient ring \({\mathcal{R}(C)}/J({\mathcal{R}(C))}\). |
| first_indexed | 2025-12-02T15:32:32Z |
| format | Article |
| id | admjournalluguniveduua-article-769 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:32:32Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-7692018-04-04T08:31:48Z Rings of functions on non-abelian groups Maxson, C. J. Covers of groups; rings of functions 16S60, 16N20; 20D99 For several classes of finite nonabelian groups we investigate the structure of the ring of functions, \({\mathcal{R}(C)}\), determined by the cover \(C\) of maximal abelian subgroups. We determine the Jacobson radical \(J({\mathcal{R}(C))}\) and the semisimple quotient ring \({\mathcal{R}(C)}/J({\mathcal{R}(C))}\). Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/769 Algebra and Discrete Mathematics; Vol 8, No 1 (2009) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/769/299 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | Covers of groups rings of functions 16S60 16N20; 20D99 Maxson, C. J. Rings of functions on non-abelian groups |
| title | Rings of functions on non-abelian groups |
| title_full | Rings of functions on non-abelian groups |
| title_fullStr | Rings of functions on non-abelian groups |
| title_full_unstemmed | Rings of functions on non-abelian groups |
| title_short | Rings of functions on non-abelian groups |
| title_sort | rings of functions on non-abelian groups |
| topic | Covers of groups rings of functions 16S60 16N20; 20D99 |
| topic_facet | Covers of groups rings of functions 16S60 16N20; 20D99 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/769 |
| work_keys_str_mv | AT maxsoncj ringsoffunctionsonnonabeliangroups |