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 \(A\). Wh...
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/640 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543311737651200 |
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| author | Guedenon, T. |
| author_facet | Guedenon, T. |
| author_sort | Guedenon, T. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-04T09:14:15Z |
| 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 \(A \otimes C\), we prove similar results for the graded ring of conormalizing elements of \(A\). |
| first_indexed | 2025-12-02T15:27:07Z |
| format | Article |
| id | admjournalluguniveduua-article-640 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:27:07Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-6402018-04-04T09:14:15Z 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 \(A \otimes C\), we prove similar results for the graded ring of conormalizing elements of \(A\). Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/640 Algebra and Discrete Mathematics; Vol 10, No 1 (2010) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/640/174 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | Guedenon, T. Projectivity and flatness over the graded ring of semi-coinvariants |
| 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 |
| topic | |
| topic_facet | |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/640 |
| work_keys_str_mv | AT guedenont projectivityandflatnessoverthegradedringofsemicoinvariants |