In this paper, we firstly obtain the analogue of a Bongartz completion for functorially finite
rigid subcategories in an extriangulated category and then we investigate the properties of n …

The goal of the article is to better understand cosupport in triangulated categories since it is
still quite mysterious. We study boundedness of local cohomology and local homology …

Quillen's Resolution Theorem in algebraic $ K $-theory provides a powerful computational
tool for calculating $ K $-groups of exact categories. At the level of $ K_0 $, this result goes …

Let R be an Artin ring and Θ={Θ (1), Θ (2),…, Θ (n)} be a family of objects in an Artin
extriangulated R-category (C, E, s) such that E (Θ (j), Θ (i))= 0 for all j≥ i. In this article, we …

Herschend-Liu-Nakaoka introduced the concept of $ n $-exangulated categories as higher-
dimensional analogues of extriangulated categories defined by Nakaoka-Palu. The class of …

arXiv:1010.0146v1 [math.CT] 1 Oct 2010 Page 1 arXiv:1010.0146v1 [math.CT] 1 Oct 2010
THICK SUBCATEGORIES OF FINITE ALGEBRAIC TRIANGULATED CATEGORIES …

In this paper, we investigate the homotopy categories K (𝒳∩ 𝒴) and K (𝒳∩ 𝒴 ̃) with respect
to a complete and hereditary cotorsion pair (𝒳, 𝒴) in a bicomplete abelian category. We …

We construct an" almost involution" assigning a new DG-category to a given one, and use
this construction in order to recover, say, the abelian category of graded modules over the …

In this paper, by using functor rings and functor categories, we study finiteness and purity of
subcategories of the module categories. We give a characterisation of contravariantly finite …

In this paper, we introduce and study relative phantom morphisms in extriangulated
categories defined by Nakaoka and Palu. Then using their properties, we show that if (𝒞, 𝔼 …