Reducing homological conjectures by n-recollements
Representation Theory
2016-11-25 v2 Rings and Algebras
Abstract
n-recollements of triangulated categories and n-derived-simple algebras are introduced. The relations between the n-recollements of derived categories of algebras and the Cartan determinants, homological smoothness and Gorensteinness of algebras respectively are clarified. As applications, the Cartan determinant conjecture is reduced to 1-derived-simple algebras, and the Gorenstein symmetry conjecture is reduced to 2-derived-simple algebras.
Cite
@article{arxiv.1410.3223,
title = {Reducing homological conjectures by n-recollements},
author = {Yang Han and Yongyun Qin},
journal= {arXiv preprint arXiv:1410.3223},
year = {2016}
}
Comments
Some remarks and references are added