Article ID Journal Published Year Pages File Type
4595924 Journal of Pure and Applied Algebra 2015 29 Pages PDF
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
, ,