On characterization of Double Danielewski type algebras
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911060802404352 |
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| author | Ghosh, Parnashree Mondal, Dibyendu |
| author_facet | Ghosh, Parnashree Mondal, Dibyendu |
| contents | Let $k$ be a field. In this paper, we consider Double Danielewski type algebras over an affine factorial $k$-domain $R$. We observe that this family produces a non-cancellative family of algebras over $R$. Further, when $k$ is a field of characteristic zero, we give a characterization for an affine algebra to be isomorphic to an algebra of Double Danielewski type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_02876 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On characterization of Double Danielewski type algebras Ghosh, Parnashree Mondal, Dibyendu Commutative Algebra Algebraic Geometry 13N15, 14R20 Let $k$ be a field. In this paper, we consider Double Danielewski type algebras over an affine factorial $k$-domain $R$. We observe that this family produces a non-cancellative family of algebras over $R$. Further, when $k$ is a field of characteristic zero, we give a characterization for an affine algebra to be isomorphic to an algebra of Double Danielewski type. |
| title | On characterization of Double Danielewski type algebras |
| topic | Commutative Algebra Algebraic Geometry 13N15, 14R20 |
| url | https://arxiv.org/abs/2403.02876 |