Finite support of tensor products
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2019
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916043522310144 |
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| author | Asgharzadeh, Mohsen |
| author_facet | Asgharzadeh, Mohsen |
| contents | We determine the submodule of finite support of the tensor product of two modules M and N over a local ring and estimate its length in terms of $M$ and $N$. Also, we compute higher local cohomology modules of tensor products in a serial of nontrivial cases. As applications, we compute the depth of tensor powers and present some freeness criteria. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1902_10509 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Finite support of tensor products Asgharzadeh, Mohsen Commutative Algebra We determine the submodule of finite support of the tensor product of two modules M and N over a local ring and estimate its length in terms of $M$ and $N$. Also, we compute higher local cohomology modules of tensor products in a serial of nontrivial cases. As applications, we compute the depth of tensor powers and present some freeness criteria. |
| title | Finite support of tensor products |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/1902.10509 |