5 citations · 9 across the 9 of their papers we have counts for
5 papers · 1 filter
Solution to a problem by FitzGerald
Jens Hemelaer, Morgan Rogers
FitzGerald identified four conditions (RI), (UR), (RI*) and (UR*) that are necessarily satisfied by an algebra, if its monoid of endomorphisms has commuting idempotents. We show th…
Duality for noncommutative frames
Karin Cvetko-Vah, Jens Hemelaer, Lieven Le Bruyn
We characterize the left-handed noncommutative frames that arise from sheaves on topological spaces. Further, we show that a general left-handed noncommutative frame arises fro…
Noncommutative Frames Revisited
Karin Cvetko-Vah, Jens Hemelaer, Jonathan Leech
In this note, we correct an error in arXiv:1702.04949 by adding an additional assumption of join completeness. We demonstrate with examples why this assumption is necessary, and di…
What is a noncommutative topos?
Karin Cvetko-Vah, Jens Hemelaer, Lieven Le Bruyn
In 1702.04949 noncommutative frames were introduced, generalizing the usual notion of frames of open sets of a topological space. In this paper we extend this notion to noncommutat…
Azumaya geometry and representation stacks
Jens Hemelaer, Lieven Le Bruyn
We develop Azumaya geometry, which is an extension of classical affine geometry to the world of Azumaya algebras, and package the information contained in all quotient stacks $[\ma…