11 citations · 41 across the 12 of their papers we have counts for
13 papers
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…
A categorical framework for glider representations
Ruben Henrard, Adam-Christiaan van Roosmalen
Fragment and glider representations (introduced by F. Caenepeel, S. Nawal, and F. Van Oystaeyen) form a generalization of filtered modules over a filtered ring. Given a -filtere…
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…
A Kodaira Vanishing Theorem for Noncommutative Kahler Structures
Réamonn Ó Buachalla, Jan Stovicek, Adam-Christiaan van Roosmalen
Using the framework of noncommutative Kahler structures, we generalise to the noncommutative setting the celebrated vanishing theorem of Kodaira for positive line bundles. The resu…