REPRESENTATION
THEORY AND RELATED TOPICS SEMINAR
ABSTRACT: This is joint work with Alex Martsinkovsky. Some properties (completness, cocompletness, (normal) monomorphisms, (normal) epimorphisms, etc.) of the stable category of a left hereditary ring are studied. It is proved that the stable category of such a ring is abelian if and only if the injective envelope of the ring viewed as a left module is projective. According to a structure theorem of Colby-Rutter, these are precisely finite direct products of complete blocked triangular matrix rings over division rings.
For further information visit http://www.northeastern.edu/martsinkovsky/p/rtrt.html or contact Alex Martsinkovsky alexmart >at< neu >dot< edu