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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2010 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2010
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154619 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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| _version_ | 1862556727537303552 |
|---|---|
| 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. |
| collection | DSpace DC |
| 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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| first_indexed | 2025-11-25T22:33:39Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154619 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-25T22:33:39Z |
| publishDate | 2010 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| 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 |