Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Quasi-heredity of algebras and their factor algebras

Author: Chang Chang Xi
Journal: Proc. Amer. Math. Soc. 119 (1993), 727-729
MSC: Primary 16P10; Secondary 16E10
MathSciNet review: 1154251
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Abstract: Let $ A$ be a finite-dimensional algebra over an algebraically closed field and denote by $ N$ the Jacobson radical of $ A$. If there is an integer $ i \geqslant 2$ such that $ A/{N^i}$ is quasi-hereditary, then $ A$ is quasi-hereditary.

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Keywords: Heredity ideals, hereditary algebras
Article copyright: © Copyright 1993 American Mathematical Society