Wild problems in the theory of representations of *-algebras generated by generatrices and relations
Two definitions of wild *-algebras are considered from the point of view of the theory of representations. We present methods for proving the fact that a *-algebra is wild. It is also shown that if a algebra isp-wild, then it isf-wild. The converse statement is not true.
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| Дата: | 1995 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1995
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5384 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511615816826880 |
|---|---|
| author | Piryatinskaya, A. Yu. Samoilenko, Yu. S. Пирятинская, А. Ю. Самойленко, Ю. С. Пирятинская, А. Ю. Самойленко, Ю. С. |
| author_facet | Piryatinskaya, A. Yu. Samoilenko, Yu. S. Пирятинская, А. Ю. Самойленко, Ю. С. Пирятинская, А. Ю. Самойленко, Ю. С. |
| author_sort | Piryatinskaya, A. Yu. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:58:17Z |
| description | Two definitions of wild *-algebras are considered from the point of view of the theory of representations. We present methods for proving the fact that a *-algebra is wild. It is also shown that if a algebra isp-wild, then it isf-wild. The converse statement is not true. |
| first_indexed | 2026-03-24T03:15:43Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5384 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:15:43Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/63/ef181d51a0bf6f385bf28f96db545563.pdf |
| spelling | umjimathkievua-article-53842020-03-19T08:58:17Z Wild problems in the theory of representations of *-algebras generated by generatrices and relations Дикие задачи теории представлений *-алгебр, порожденных образующими и соотношениями Piryatinskaya, A. Yu. Samoilenko, Yu. S. Пирятинская, А. Ю. Самойленко, Ю. С. Пирятинская, А. Ю. Самойленко, Ю. С. Two definitions of wild *-algebras are considered from the point of view of the theory of representations. We present methods for proving the fact that a *-algebra is wild. It is also shown that if a algebra isp-wild, then it isf-wild. The converse statement is not true. Розглядаються два визначення диких *-алгебр з точки зору теорії зображень, способи доведення дикості. Доводиться, що з $р$-дикості випливає $f$-дикість, але обернене твердження не вірне. Institute of Mathematics, NAS of Ukraine 1995-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5384 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 1 (1995); 70–78 Український математичний журнал; Том 47 № 1 (1995); 70–78 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5384/7459 https://umj.imath.kiev.ua/index.php/umj/article/view/5384/7460 Copyright (c) 1995 Piryatinskaya A. Yu.; Samoilenko Yu. S. |
| spellingShingle | Piryatinskaya, A. Yu. Samoilenko, Yu. S. Пирятинская, А. Ю. Самойленко, Ю. С. Пирятинская, А. Ю. Самойленко, Ю. С. Wild problems in the theory of representations of *-algebras generated by generatrices and relations |
| title | Wild problems in the theory of representations of *-algebras generated by generatrices and relations |
| title_alt | Дикие задачи теории представлений *-алгебр,
порожденных образующими и соотношениями |
| title_full | Wild problems in the theory of representations of *-algebras generated by generatrices and relations |
| title_fullStr | Wild problems in the theory of representations of *-algebras generated by generatrices and relations |
| title_full_unstemmed | Wild problems in the theory of representations of *-algebras generated by generatrices and relations |
| title_short | Wild problems in the theory of representations of *-algebras generated by generatrices and relations |
| title_sort | wild problems in the theory of representations of *-algebras generated by generatrices and relations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5384 |
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