CONFERINŢĂ
Joi, 12.12.2013, ora 10:00
Sala colectivului de Algebră

Koethe’s Conjecture and Selfinjective Regular Rings

Speaker

Dr. Jan Zemlicka, Charles University, Prague

Abstract

One among many equivalent formulation of the Koethe’s conjecture is the assertion that there exists no ring which contains two nil right ideals whose sum is not nil. I will discus several consequences of an observation that if the Koethe conjecture fails then there exists a non-Koethe countable local subring of a suitable self-injective prime regular ring.