English

Perfect category-graded algebras

Category Theory 2016-02-09 v2 Rings and Algebras Representation Theory

Abstract

In a perfect category every object has a minimal projective resolution. We give a criterion for the category of modules over a categorygraded algebra to be perfect.

Keywords

Cite

@article{arxiv.1003.5492,
  title  = {Perfect category-graded algebras},
  author = {Ana Paula Santana and Ivan Yudin},
  journal= {arXiv preprint arXiv:1003.5492},
  year   = {2016}
}

Comments

A sufficient condition is replaced by a criterion. Several references added. 17 pages

R2 v1 2026-06-21T15:03:47.869Z