On the ideal case of a conjecture of Auslander and Reiten

Olgur Celikbas, Kei-ichiro Iima, Arash Sadeghi +1

A celebrated conjecture of Auslander and Reiten claims that a finitely generated module $M$ that has no extensions with $M\oplus \Lambda$ over an Artin algebra $\Lambda$ must be projective. Th…