Action type geometrical equivalence of representations of groups
In the paper we prove (Theorem 8.1) that there
 exists a continuum of non isomorphic simple modules over KF₂,
 where F₂ is a free group with 2 generators (compare with [Ca]
 where a continuum of non isomorphic simple 2-generated groups is
 constructed). Using this fac...
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| Опубліковано в: | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2005 |
| ISSN: | 1726-3255 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2005
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/157336 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Action type geometrical equivalence of representations of groups / B. Plotkin, A. Tsurkov // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 4. — С. 48–79. — Бібліогр.: 17 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862744917402451968 |
|---|---|
| author | Plotkin, B. Tsurkov, A. |
| author_facet | Plotkin, B. Tsurkov, A. |
| citation_txt | Action type geometrical equivalence of representations of groups / B. Plotkin, A. Tsurkov // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 4. — С. 48–79. — Бібліогр.: 17 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | In the paper we prove (Theorem 8.1) that there
exists a continuum of non isomorphic simple modules over KF₂,
where F₂ is a free group with 2 generators (compare with [Ca]
where a continuum of non isomorphic simple 2-generated groups is
constructed). Using this fact we give an example of a non action
type logically Noetherian representation (Section 9).
|
| first_indexed | 2025-12-07T20:38:03Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157336 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T20:38:03Z |
| publishDate | 2005 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Plotkin, B. Tsurkov, A. 2019-06-20T02:31:10Z 2019-06-20T02:31:10Z 2005 Action type geometrical equivalence of representations of groups / B. Plotkin, A. Tsurkov // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 4. — С. 48–79. — Бібліогр.: 17 назв. — англ. 1726-3255 https://nasplib.isofts.kiev.ua/handle/123456789/157336 In the paper we prove (Theorem 8.1) that there
 exists a continuum of non isomorphic simple modules over KF₂,
 where F₂ is a free group with 2 generators (compare with [Ca]
 where a continuum of non isomorphic simple 2-generated groups is
 constructed). Using this fact we give an example of a non action
 type logically Noetherian representation (Section 9). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Action type geometrical equivalence of representations of groups Article published earlier |
| spellingShingle | Action type geometrical equivalence of representations of groups Plotkin, B. Tsurkov, A. |
| title | Action type geometrical equivalence of representations of groups |
| title_full | Action type geometrical equivalence of representations of groups |
| title_fullStr | Action type geometrical equivalence of representations of groups |
| title_full_unstemmed | Action type geometrical equivalence of representations of groups |
| title_short | Action type geometrical equivalence of representations of groups |
| title_sort | action type geometrical equivalence of representations of groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157336 |
| work_keys_str_mv | AT plotkinb actiontypegeometricalequivalenceofrepresentationsofgroups AT tsurkova actiontypegeometricalequivalenceofrepresentationsofgroups |