论文标题
无限类别遗传的足够和必要的条件
Sufficient and necessary conditions for hereditary of infinite category algebras
论文作者
论文摘要
我们描述了满足某些组合假设的无限EI类别类别代数的遗传性的必要条件。更普遍地，我们讨论条件，使得代数的左全局维度等于其对象的内态代数的最大左左维度，并在这种情况下对其投影模块进行了分类。作为应用程序，我们将转运蛋白类别，轨道类别和Quillen类别分类为左世纪代数。
We describe necessary and sufficient conditions for the hereditarity of the category algebra of an infinite EI category satisfying certain combinatorial assumptions. More generally, we discuss conditions such that the left global dimension of a category algebra equals the maximal left global dimension of the endomorphism algebras of its objects, and classify its projective modules in this case. As applications, we completely classify transporter categories, orbit categories, and Quillen categories with left hereditary category algebras over a field.
