Infinitely dimensional, affine nil algebras $A\otimes A^{op}$ and $A\otimes A$ exist

Agata Smoktunowicz

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arXiv · 1403.2557

Infinitely dimensional, affine nil algebras $A\otimes A^{op}$ and $A\otimes A$ exist

Agata Smoktunowicz

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Abstract

In this paper we answer two questions from [16], by showing that, over any algebraically closed field, $K$, there is a finitely generated, infinitely dimensional algebra $A$ such that algebras $A\otimes_{K}A$ and $A\otimes_{K} A^{op}$ are nil.

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BibTeX RIS

Agata Smoktunowicz. 2014-03-11. Infinitely dimensional, affine nil algebras $A\otimes A^{op}$ and $A\otimes A$ exist. https://arxiv.org/abs/1403.2557

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