Characterizing Gorenstein rings using contracting endomorphisms
Commutative Algebra
2019-01-01 v2
Abstract
We prove several characterizations of Gorenstein rings in terms of vanishings of derived functors of certain modules or complexes whose scalars are restricted via contracting endomorphisms. These results can be viewed as analogues of results of Kunz (in the case of the Frobenius) and Avramov-Hochster-Iyengar-Yao (in the case of general contracting endomorphisms).
Cite
@article{arxiv.1806.10086,
title = {Characterizing Gorenstein rings using contracting endomorphisms},
author = {Brittney Falahola and Thomas Marley},
journal= {arXiv preprint arXiv:1806.10086},
year = {2019}
}
Comments
To appear in J. of Algebra (special issue in honor of Craig Huneke)