Equivalences from tilting theory and commutative algebra from the adjoint functor point of view

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.

This is the final version (17 pages) to appear in the New York Journal of Mathematics

References in corpus (1)

• Weak Proregularity, Weak Stability, and the Noncommutative MGM Equivalence

Cited by in corpus (2)

• Cohen-Macaulay invariant subalgebras of Hopf dense Galois extensions
• Local cohomology associated to the radical of a group action on a noetherian algebra