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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.13829 |
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| _version_ | 1866916037246582784 |
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| author | Wojtala, Maciej |
| author_facet | Wojtala, Maciej |
| contents | We generalize Iarrobino's symmetric decomposition for the associated graded algebra of an Artinian Gorenstein algebra to a symmetric decomposition of finite-length self-dual modules over a local algebra, and we deduce consequences for the Hilbert functions of such self-dual modules. We classify the local Hilbert functions for small degree modules. We generalize Kunte's criterion for self-duality in terms of Macaulay's inverse systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13829 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Iarrobino's symmetric decomposition for self-dual modules Wojtala, Maciej Commutative Algebra We generalize Iarrobino's symmetric decomposition for the associated graded algebra of an Artinian Gorenstein algebra to a symmetric decomposition of finite-length self-dual modules over a local algebra, and we deduce consequences for the Hilbert functions of such self-dual modules. We classify the local Hilbert functions for small degree modules. We generalize Kunte's criterion for self-duality in terms of Macaulay's inverse systems. |
| title | Iarrobino's symmetric decomposition for self-dual modules |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2405.13829 |