Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595924 | Journal of Pure and Applied Algebra | 2015 | 29 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alex Martsinkovsky, Dali Zangurashvili,