3 papers
math.RT2026
Codistinguished abelian subcategories
Charley Cummings, David Nkansah
We introduce codistinguished abelian subcategories of triangulated categories, which generalise Jorgensen's proper abelian subcategories and are dual to Linckelmann's distinguished…
math.RT2026
Rank functions on -angulated categories -- a functorial approach
David Nkansah
We introduce the notion of a rank function on a -angulated category which generalises the notion of a rank function on a triangulated category. Inspired by wor…
math.RT2026
Differential modules: a perspective on Bass' question
David Nkansah
Guided by the -shaped derived category framework introduced by Holm and Jorgensen, we provide a differential module analogue of a classical result that characterises when a fini…