Strongly quasi-hereditary algebras and rejective subcategories
Strongly quasi-hereditary algebras and rejective subcategories
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强准遗传代数和拒绝子范畴
DOI：
10.1017/nmj.2018.9
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发表时间：
2018
影响因子：
0.8
通讯作者：
Mayu Tsukamoto
中科院分区：
文献类型：
--
作者：
Adachi Takahide;Tsukamoto Mayu;Mayu Tsukamoto
Ringel右强拟遗传代数是Cline-Parshire-Scott的一类重要的拟遗传代数。给出了这些代数的遗传链和右拒子范畴的刻画。证明了任一整体维至多为2的Artin代数是右强拟遗传的。此外，我们证明了表示有限代数的Auslander代数是Nakayama代数。
Ringel’s right-strongly quasi-hereditary algebras are a distinguished class of quasi-hereditary algebras of Cline–Parshall–Scott. We give characterizations of these algebras in terms of heredity chains and right rejective subcategories. We prove that any artin algebra of global dimension at most two is right-strongly quasi-hereditary. Moreover we show that the Auslander algebra of a representation-finite algebra is a Nakayama algebra.