The stable category of a left hereditary ring
Rings and Algebras
2015-01-06 v2 Category Theory
Representation Theory
Abstract
The (co)completeness problem for the (projectively) stable module category of an associative ring is studied. (Normal) monomorphisms and (normal) epimorphisms in such a category are characterized. As an application, we give a criterion for the stable category of a left hereditary ring to be abelian. By a structure theorem of Colby-Rutter, this leads to an explicit description of all such rings.
Keywords
Cite
@article{arxiv.1408.2904,
title = {The stable category of a left hereditary ring},
author = {Alex Martsinkovsky and Dali Zangurashvili},
journal= {arXiv preprint arXiv:1408.2904},
year = {2015}
}
Comments
31 pages. Corrected typos and minor editorial changes to improve readability