arXiv subjects

Peter Kálnai

Publications and source records attributed to Peter Kálnai.

2 recordsLinked to original sources

arXiv2020

Self-injective von Neumann regular rings and Köthe's Conjecture

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 several consequences of an observation that if the Koethe conjecture fails then there exists a counterexample in the form of a countable local subring of a suitable self-injective prime (von Neumann) regular ring.

math.RA↗

arXiv2017

Compactness in abelian categories

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 this case. Furthermore, we describe categorical and set-theoretical conditions under which all products of compact objects remain compact.

math.CT↗