Dr. Jan Žemlička, Charles University, Prága: Koethe’s Conjecture and Selfinjective Regular Rings

ELŐADÁS
2013. december 12., csütörtök, 10:00 óra
Helyszín: Mathematicum, Algebra tanszék
Ploiești/Hosszú utca 23–25. szám

Koethe’s Conjecture and Selfinjective Regular Rings

Meghívott előadó

Dr. Jan Žemlička, Charles University, Prága

Absztrakt

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.