Equivalences from tilting theory and commutative algebra from the adjoint functor point of view
Commutative Algebra
2017-10-25 v3 Rings and Algebras
Abstract
We give a category theoretic approach to several known equivalences from (classic) tilting theory and commutative algebra. Furthermore, we apply our main results to establish a duality theory for relative Cohen-Macaulay modules in the sense of Hellus, Schenzel, and Zargar.
Keywords
Cite
@article{arxiv.1703.06685,
title = {Equivalences from tilting theory and commutative algebra from the adjoint functor point of view},
author = {Olgur Celikbas and Henrik Holm},
journal= {arXiv preprint arXiv:1703.06685},
year = {2017}
}
Comments
This is the final version (17 pages) to appear in the New York Journal of Mathematics