Finite-Dimensional Algebras and Standard Systems |
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Authors: | Jie Du |
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Institution: | (1) School of Mathematics, University of New South Wales, Sydney, 2052, Australia |
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Abstract: | 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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Keywords: | quasi-hereditary algebras stratified algebras cellular algebras |
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