NORTHEASTERN UNIVERSITY
MATHEMATICS DEPARTMENT

REPRESENTATION THEORY AND RELATED TOPICS SEMINAR


  Dali Zangurashvili
(Tbilisi)


Some Properties of the Stable Category of a Left Hereditary Ring

ABSTRACTThis 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.


October 31, 2014
10:30 - 11:30
511 Lake Hall


For further information visit http://www.northeastern.edu/martsinkovsky/p/rtrt.html  or contact Alex Martsinkovsky alexmart >at< neu >dot< edu