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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Опубліковано в: :Algebra and Discrete Mathematics
Дата:2010
Автор: Guedenon, T.
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут прикладної математики і механіки НАН України 2010
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/154619
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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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author Guedenon, T.
author_facet Guedenon, T.
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.
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container_title Algebra and Discrete Mathematics
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.
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publishDate 2010
publisher Інститут прикладної математики і механіки НАН України
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spelling Guedenon, T.
2019-06-15T16:54:22Z
2019-06-15T16:54:22Z
2010
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
https://nasplib.isofts.kiev.ua/handle/123456789/154619
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.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
Projectivity and flatness over the graded ring of semi-coinvariants
Article
published earlier
spellingShingle Projectivity and flatness over the graded ring of semi-coinvariants
Guedenon, T.
title 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_short Projectivity and flatness over the graded ring of semi-coinvariants
title_sort projectivity and flatness over the graded ring of semi-coinvariants
url https://nasplib.isofts.kiev.ua/handle/123456789/154619
work_keys_str_mv AT guedenont projectivityandflatnessoverthegradedringofsemicoinvariants