English

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

Rings and Algebras 2014-03-12 v1

Abstract

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

Keywords

Cite

@article{arxiv.1403.2557,
  title  = {Infinitely dimensional, affine nil algebras $A\otimes A^{op}$ and $A\otimes A$ exist},
  author = {Agata Smoktunowicz},
  journal= {arXiv preprint arXiv:1403.2557},
  year   = {2014}
}