Differential Modules over Quadratic Monomial Algebras

被引：0
|
作者：
Torkil Stai
机构：
[1] NTNU,Institutt for Matematiske Fag
来源：
Algebras and Representation Theory | 2017年 / 20卷
关键词：
Derived category; Orbit category; Triangulated category; Clock condition; Gentle algebra; Stably hereditary algebra; 16G20; 18E30;
D O I：
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中图分类号：
学科分类号：
摘要：
We compare the so-called clock condition to the gradability of certain differential modules over quadratic monomial algebras. These considerations show that a stably hereditary or gentle one-cycle algebra is piecewise hereditary if and only if the orbit category of its bounded derived category with respect to a positive power of the shift functor is triangulated.
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页码：1239 / 1247
页数：8
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