N-fiber-full modules
Let A be a Noetherian flat K[t]-algebra, h an integer and let N be a graded K[t]-module, we introduce and study “N-fiber-full up to h” A-modules. We prove that an A-module M is N-fiber-full up to h if and only if ExtAi(M,N) is flat over K[t] for all i≤h−1. And we show some applications of this resul...
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| Veröffentlicht in: | Journal of pure and applied algebra 2022-04, Vol.226 (4), p.106899, Article 106899 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let A be a Noetherian flat K[t]-algebra, h an integer and let N be a graded K[t]-module, we introduce and study “N-fiber-full up to h” A-modules. We prove that an A-module M is N-fiber-full up to h if and only if ExtAi(M,N) is flat over K[t] for all i≤h−1. And we show some applications of this result extending the recent result on square-free Gröbner degenerations by Conca and Varbaro. |
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| ISSN: | 0022-4049 1873-1376 |
| DOI: | 10.1016/j.jpaa.2021.106899 |