English

Finitistic dimension through infinite projective dimension

Representation Theory 2011-01-11 v2

Abstract

We show that an artin algebra having at most three radical layers of infinite projective dimension has finite finitistic dimension, generalizing the known result for algebras with vanishing radical cube.

Keywords

Cite

@article{arxiv.0709.4253,
  title  = {Finitistic dimension through infinite projective dimension},
  author = {Francois Huard and Marcelo Lanzilotta and Octavio Mendoza},
  journal= {arXiv preprint arXiv:0709.4253},
  year   = {2011}
}

Comments

10 pages

R2 v1 2026-06-21T09:22:30.340Z