Projectivity and flatness over the graded ring of semi-coinvariants

Projectivity and flatness over the graded ring of semi-coinvariants

Let k be a field, C a bialgebra with bijective antipode, A a right C-comodule algebra, G any subgroup of the monoid of grouplike elements of C. We give necessary and sufficient conditions for the projectivity and flatness over the graded ring of semi-coinvariants of A. When A and C are commutative a...

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Бібліографічні деталі
Дата:2010
Автор: Guedenon, T.
Формат: Стаття
Мова:English
Опубліковано: Інститут прикладної математики і механіки НАН України 2010
Назва видання:Algebra and Discrete Mathematics
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/154619
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Projectivity and flatness over the graded ring of semi-coinvariants / T. Guedenon // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 1. — С. 43–56. — Бібліогр.: 13 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-1546192019-06-16T01:31:54Z Projectivity and flatness over the graded ring of semi-coinvariants Guedenon, T. Let k be a field, C a bialgebra with bijective antipode, A a right C-comodule algebra, G any subgroup of the monoid of grouplike elements of C. We give necessary and sufficient conditions for the projectivity and flatness over the graded ring of semi-coinvariants of A. When A and C are commutative and G is any subgroup of the monoid of grouplike elements of the coring A⊗C, we prove similar results for the graded ring of conormalizing elements of A. 2010 Article Projectivity and flatness over the graded ring of semi-coinvariants / T. Guedenon // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 1. — С. 43–56. — Бібліогр.: 13 назв. — англ. 1726-3255 http://dspace.nbuv.gov.ua/handle/123456789/154619 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description Let k be a field, C a bialgebra with bijective antipode, A a right C-comodule algebra, G any subgroup of the monoid of grouplike elements of C. We give necessary and sufficient conditions for the projectivity and flatness over the graded ring of semi-coinvariants of A. When A and C are commutative and G is any subgroup of the monoid of grouplike elements of the coring A⊗C, we prove similar results for the graded ring of conormalizing elements of A.
format Article
author Guedenon, T.
spellingShingle Guedenon, T.
Projectivity and flatness over the graded ring of semi-coinvariants
Algebra and Discrete Mathematics
author_facet Guedenon, T.
author_sort Guedenon, T.
title Projectivity and flatness over the graded ring of semi-coinvariants
title_short Projectivity and flatness over the graded ring of semi-coinvariants
title_full Projectivity and flatness over the graded ring of semi-coinvariants
title_fullStr Projectivity and flatness over the graded ring of semi-coinvariants
title_full_unstemmed Projectivity and flatness over the graded ring of semi-coinvariants
title_sort projectivity and flatness over the graded ring of semi-coinvariants
publisher Інститут прикладної математики і механіки НАН України
publishDate 2010
url http://dspace.nbuv.gov.ua/handle/123456789/154619
citation_txt Projectivity and flatness over the graded ring of semi-coinvariants / T. Guedenon // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 1. — С. 43–56. — Бібліогр.: 13 назв. — англ.
series Algebra and Discrete Mathematics
work_keys_str_mv AT guedenont projectivityandflatnessoverthegradedringofsemicoinvariants
first_indexed 2023-05-20T17:44:59Z
last_indexed 2023-05-20T17:44:59Z
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