| |
|
Olgur Celikbas and Henrik Holm
Equivalences from tilting theory and commutative algebra from the adjoint functor point of view view print
|
|
| Published: |
November 17, 2017 |
| Keywords: |
Adjoint functors; Brenner-Butler theorem; local (co)homology; Foxby equivalence; Matlis duality; relative Cohen-Macaulay modules; Sharp's equivalence; tilting modules; Wakamatsu's duality. |
| Subject: |
13C14, 13D07, 13D45, 16E30, 18G10 |
|
|
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.
|
|
| Author information
Olgur Celikbas:
Department of Mathematics, West Virginia University, Morgantown, WV 26506 U.S.A
olgur.celikbas@math.wvu.edu
Henrik Holm:
Department of Mathematical Sciences, Universitetsparken 5, University of Copenhagen, 2100 Copenhagen Ø, Denmark
holm@math.ku.dk
|
|
