The triangulated hull of periodic complexes

T Stai - arXiv preprint arXiv:1510.03574, 2015 - arxiv.org
In the terms of an$ n $-periodic derived category', we describe explicitly how the orbit
category of the bounded derived category of an algebra with respect to powers of the shift …

[HTML][HTML] Higher differential objects in additive categories

X Tang, Z Huang - Journal of Algebra, 2020 - Elsevier
Given an additive category C and an integer n⩾ 2. We form a new additive category C [ϵ] n
consisting of objects X in C equipped with an endomorphism ϵ X satisfying ϵ X n= 0. First …