Algebras standardly stratified in all orders
Volume 107 / 2007
Colloquium Mathematicum 107 (2007), 81-87
MSC: Primary 16G99.
DOI: 10.4064/cm107-1-8
Abstract
The aim of this work is to characterize the algebras which are standardly stratified with respect to any order of the simple modules. We show that such algebras are exactly the algebras with all idempotent ideals projective. We also deduce as a corollary a characterization of hereditary algebras, originally due to Dlab and Ringel.
