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On characterization of Double Danielewski type algebras

Commutative Algebra 2025-07-18 v2 Algebraic Geometry

Abstract

Let kk be a field. In this paper, we consider Double Danielewski type algebras over an affine factorial kk-domain RR. We observe that this family produces a non-cancellative family of algebras over RR. Further, when kk is a field of characteristic zero, we give a characterization for an affine algebra to be isomorphic to an algebra of Double Danielewski type.

Keywords

Cite

@article{arxiv.2403.02876,
  title  = {On characterization of Double Danielewski type algebras},
  author = {Parnashree Ghosh and Dibyendu Mondal},
  journal= {arXiv preprint arXiv:2403.02876},
  year   = {2025}
}

Comments

18 pages. All comments are welcome