Finite-Dimensional Algebras and Standard Systems

被引:0
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作者
Jie Du
机构
[1] University of New South Wales,School of Mathematics
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关键词
quasi-hereditary algebras; stratified algebras; cellular algebras;
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摘要
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.
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页码:461 / 474
页数:13
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