×

Quasi-hereditary algebras revisited. (English) Zbl 0873.16008

The author summarizes some of his known results (with his coauthors C. M. Ringel, I. Agoston and E. Lukacs, P. Heath and F. Marko, respectively) on quasi-hereditary algebras, as well as his recent characterizations of a quasi-hereditary algebra in terms of \(\Delta\)-filtrations and their dimensions.

MSC:

16G10 Representations of associative Artinian rings
16E10 Homological dimension in associative algebras
17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
16E60 Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc.
16D90 Module categories in associative algebras
16P10 Finite rings and finite-dimensional associative algebras
PDFBibTeX XMLCite