Journal of Algebra and Its Applications· 2026Q2
On characterization of Double Danielewski type algebras
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- Q2SCImago
- 2026year
Short summary
This paper characterizes Double Danielewski type algebras over an affine factorial k-domain R, showing they form a non-cancellative family and providing a specific isomorphism condition for characteristic zero fields.
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Key points
- Double Danielewski type algebras over an affine factorial k-domain R are observed to be non-cancellative.
- A characterization is provided for an affine algebra to be isomorphic to a Double Danielewski type algebra.
- This characterization is specific to fields k with characteristic zero.
AI-generated from the title and abstract; the full text is not read.
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.
The authors' abstract, as published at the source. Journal of Algebra and Its Applications, 2026 · DOI ↗
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Field: Algebra and Number Theory
Algebra and Number TheoryMathematics