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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Veröffentlicht in:Algebra and Discrete Mathematics
Datum:2005
Hauptverfasser: Plotkin, B., Tsurkov, A.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2005
Online Zugang: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
Zitieren: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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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
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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