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Quasi-hereditary covers of higher zigzag algebras of type A
Journal of Pure and Applied Algebra ( IF 0.7 ) Pub Date : 2021-01-01 , DOI: 10.1016/j.jpaa.2020.106466
Gabriele Bocca

Abstract In this paper we define and study some quasi-hereditary covers for higher zigzag algebras of type A. We show how these algebras satisfy three different Koszul properties: they are Koszul in the classical sense, standard Koszul and Koszul with respect to the standard module Δ, according to the definition given in [24] . This last property gives rise to a well defined duality and we compute the Δ-Koszul dual as the path algebra of a quiver with relations.

中文翻译:

A 类高锯齿代数的准遗传覆盖

摘要 在本文中,我们定义并研究了 A 类较高锯齿形代数的一些准遗传覆盖。我们展示了这些代数如何满足三种不同的 Koszul 性质:它们是经典意义上的 Koszul、标准 Koszul 和关于标准模的 Koszul Δ,根据[24]中给出的定义。最后一个性质产生了一个明确定义的对偶性,我们将 Δ-Koszul 对偶计算为具有关系的箭袋的路径代数。
更新日期:2021-01-01
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