Principal quasi-ideals of cohomological dimension 1

We prove that a principal quasi-ideal of a noncommutative free semigroup has cohomological dimension 1 if and
 only if it is free.

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Veröffentlicht in:Algebra and Discrete Mathematics
Datum:2003
1. Verfasser: Novikov, B.V.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2003
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/155284
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Zitieren:Principal quasi-ideals of cohomological dimension 1 / B.V. Novikov // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 1. — С. 87–92. — Бібліогр.: 6 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Novikov, B.V.
author_facet Novikov, B.V.
citation_txt Principal quasi-ideals of cohomological dimension 1 / B.V. Novikov // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 1. — С. 87–92. — Бібліогр.: 6 назв. — англ.
collection DSpace DC
container_title Algebra and Discrete Mathematics
description We prove that a principal quasi-ideal of a noncommutative free semigroup has cohomological dimension 1 if and
 only if it is free.
first_indexed 2025-12-07T21:06:01Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-12-07T21:06:01Z
publishDate 2003
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Novikov, B.V.
2019-06-16T15:32:17Z
2019-06-16T15:32:17Z
2003
Principal quasi-ideals of cohomological dimension 1 / B.V. Novikov // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 1. — С. 87–92. — Бібліогр.: 6 назв. — англ.
1726-3255
2001 Mathematics Subject Classification: 20M05, 20M50.
https://nasplib.isofts.kiev.ua/handle/123456789/155284
We prove that a principal quasi-ideal of a noncommutative free semigroup has cohomological dimension 1 if and
 only if it is free.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
Principal quasi-ideals of cohomological dimension 1
Article
published earlier
spellingShingle Principal quasi-ideals of cohomological dimension 1
Novikov, B.V.
title Principal quasi-ideals of cohomological dimension 1
title_full Principal quasi-ideals of cohomological dimension 1
title_fullStr Principal quasi-ideals of cohomological dimension 1
title_full_unstemmed Principal quasi-ideals of cohomological dimension 1
title_short Principal quasi-ideals of cohomological dimension 1
title_sort principal quasi-ideals of cohomological dimension 1
url https://nasplib.isofts.kiev.ua/handle/123456789/155284
work_keys_str_mv AT novikovbv principalquasiidealsofcohomologicaldimension1