Finite-Dimensional Algebras and Standard Systems
by Du, Jie
We introduce the notion of a standard system in order to deal with quasi-hereditary algebras. We shall prove that a necessary and sufficient condition for a finite-dimensional algebra to be quasi-hereditary is the existence of a full and divisible standard system. As a further application, we obtain a sufficient condition for a standardly stratified algebra.
DOI: 10.1023/B:ALGE.0000006491.28617.d8
Print publication date: 12/1/2003
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