English

The tensor product of Gorenstein-projective modules over category algebras

Representation Theory 2017-02-12 v1

Abstract

For a finite free and projective EI category, we prove that Gorenstein-projective modules over its category algebra are closed under the tensor product if and only if each morphism in the given category is a monomorphism.

Keywords

Cite

@article{arxiv.1701.04169,
  title  = {The tensor product of Gorenstein-projective modules over category algebras},
  author = {Ren Wang},
  journal= {arXiv preprint arXiv:1701.04169},
  year   = {2017}
}

Comments

11 pages. arXiv admin note: text overlap with arXiv:1601.02737