The t-structure induced by an n-tilting module
Representation Theory
2019-12-16 v1
Abstract
We study the t-structure induced by an n-tilting module T in the derived category D(R) of a ring R. Our main objective is to determine when the heart of the t-structure is a Grothendieck category. We obtain characterizations in terms of properties of the module category over the endomorphism ring of T and as a main result we prove that the heart is a Grothendieck category if and only if T is a pure projective -module.
Keywords
Cite
@article{arxiv.1604.00797,
title = {The t-structure induced by an n-tilting module},
author = {Silvana Bazzoni},
journal= {arXiv preprint arXiv:1604.00797},
year = {2019}
}