On characterization of Double Danielewski type algebras

2024/03/05 by Parnashree Ghosh, Dibyendu Mondal, Ghosh, Parnashree +1
Mathematics · #Algebraic Geometry and Number Theory #Advanced Topology and Set Theory #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.2403.02876

Abstract

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.

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