5 citations · 9 across the 5 of their papers we have counts for
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Preresolving categories and derived equivalences
Ruben Henrard, Adam-Christiaan van Roosmalen
It is well known that a resolving subcategory of an abelian subcategory induces several derived equivalences: a triangle equivalence $\mathbf{D}^-(\math…
On the obscure axiom for one-sided exact categories
Ruben Henrard, Adam-Christiaan van Roosmalen
One-sided exact categories are obtained via a weakening of a Quillen exact category. Such one-sided exact categories are homologically similar to Quillen exact categories: a one-si…
Derived categories of (one-sided) exact categories and their localizations
Ruben Henrard, Adam-Christiaan van Roosmalen
We consider the quotient of an exact or one-sided exact category by a so-called percolating subcategory . For exact categories, such a quotient is constr…
Localizations of (one-sided) exact categories
Ruben Henrard, Adam-Christiaan van Roosmalen
In this paper, we introduce quotients of exact categories by percolating subcategories. This approach extends earlier localization theories by Cardenas and Schlichting for exact ca…
Hereditary uniserial categories with Serre duality
Adam-Christiaan van Roosmalen
An abelian Krull-Schmidt category is said to be uniserial if the isomorphism classes of subobjects of a given indecomposable object form a linearly ordered poset. In this paper, we…
Abelian 1-Calabi-Yau Categories
Adam-Christiaan van Roosmalen
In this paper, we show all k-linear abelian 1-Calabi-Yau categories over an algebraically closed field k are derived equivalent to either the category of coherent sheaves on an ell…