Nakayama's conjecture

In mathematics, Nakayama's conjecture is a conjecture about Artinian rings, introduced by. The generalized Nakayama conjecture is an extension to more general rings, introduced by. proved some cases of the generalized Nakayama conjecture.

Nakayama's conjecture states that if all the modules of a minimal injective resolution of an Artin algebra R are injective and projective, then R is self-injective.