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

Agata Smoktunowicz

paper

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

arXiv:1403.2557

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 $A \otimes_{K} A^{o p}$ are nil.

Cited by in corpus (1)

Geometric Obstructions on Gravity

Infinitely dimensional, affine nil algebras A⊗Aop and A⊗A exist

Abstract

Cited by in corpus (1)

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