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

Agata Smoktunowicz

arxiv: 1403.2557 · v1 · pith:6Z2RPPAZnew · submitted 2014-03-11 · 🧮 math.RA

Infinitely dimensional, affine nil algebras Aotimes A^(op) and Aotimes A exist

Agata Smoktunowicz This is my paper

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keywords otimesalgebrasdimensionalinfinitelyaffinealgebraalgebraicallyanswer

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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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Infinitely dimensional, affine nil algebras Aotimes A^(op) and Aotimes A exist

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