2 papers
math.RA2020
Self-injective von Neumann regular rings and Köthe's Conjecture
Peter Kálnai, Jan Žemlička
One of the many equivalent formulation of the Köthe's conjecture is the assertion that there exists no ring which contains two nil right ideals whose sum is not nil. We discuss sev…
math.CT2017
Compactness in abelian categories
Peter Kálnai, Jan Žemlička
We relativize the notion of a compact object in an abelian category with respect to a fixed subclass of objects. We show that the standard closure properties persist to hold in thi…