English

Tilting Modules over Almost Perfect Domains

Commutative Algebra 2009-03-09 v1 Rings and Algebras

Abstract

We provide a complete classification of all tilting modules and tilting classes over almost perfect domains, which generalizes the classifications of tilting modules and tilting classes over Dedekind and 1-Gorenstein domains. Assuming the APD is Noetherian, a complete classification of all cotilting modules is obtained (as duals of the tilting ones).

Keywords

Cite

@article{arxiv.0903.1099,
  title  = {Tilting Modules over Almost Perfect Domains},
  author = {Jawad Abuhlail and Mohammad Jarrar},
  journal= {arXiv preprint arXiv:0903.1099},
  year   = {2009}
}

Comments

15 pages

R2 v1 2026-06-21T12:18:54.904Z