Existence of unimodular element in a projective module over symbolic Rees algebras
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914689324154880 |
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| author | Bhaumik, Chandan Sarwar, Husney Parvez |
| author_facet | Bhaumik, Chandan Sarwar, Husney Parvez |
| contents | Let $A$ be a symbolic (or an extended symbolic) Rees algebra (need not be Noetherian) of dimension $d$. Let $P$ be a finitely generated projective $A$-module of rank $\geq$ $d$. Then P has a unimodular element. This improves the classical result of Serre for the mentioned class of algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_05394 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Existence of unimodular element in a projective module over symbolic Rees algebras Bhaumik, Chandan Sarwar, Husney Parvez Commutative Algebra Let $A$ be a symbolic (or an extended symbolic) Rees algebra (need not be Noetherian) of dimension $d$. Let $P$ be a finitely generated projective $A$-module of rank $\geq$ $d$. Then P has a unimodular element. This improves the classical result of Serre for the mentioned class of algebras. |
| title | Existence of unimodular element in a projective module over symbolic Rees algebras |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2301.05394 |