Proper costratifying systems.

OCTAVIO MENDOZA HERNÁNDEZ; MARIA INES PLATZECK; MELINA VERDECCHIA

Guanajuato

Conferencia; Advances in Representation Theory of Algebras ARTA; 2012

CIMAT, México

The goal of this talk is to introduce and study the notion of a proper costratifying system, which is a generalization of the so-called proper costandard modules to the context of stratifying systems. Proper costandard modules were defined by V. Dlab in his study of quasi-hereditary algebras. Moreover, we give sufficient conditions for their existence, and investigate the relation between the stratifying systems defined by K. Erdmann and C. Sáenz and the proper costratifying systems.