Artinian serial modules over commutative (or, left Noetherian) rings are at most one step away from being Noetherian

M Davoudian, OAS Karamzadeh - Communications in Algebra, 2016 - Taylor & Francis
We introduce and study the concept of dual perfect dimension which is a Krull-like
dimension extension of the concept of acc on finitely generated submodules. We observe …

[PDF][PDF] Artinian Serial Modules over Commutative (or, Left Noetherian) Rings are at Most One Step Away from Being Noetherian

M Davoudian, OAS Karamzadeh - Communications in Algebra, 2016 - researchgate.net
We introduce and study the concept of dual perfect dimension which is a Krulllike dimension
extension of the concept of acc on finitely generated submodules. We observe some basic …