Rings whose ideals are close to automorphism-invariant

2022/12/12 by Abyzov, Adel, Quynh, Truong Cong, Tuganbaev, Askar
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2212.05921

Abstract

We consider rings whose one-sided ideals are close to automorphism-invariant modules. We study rings in which every (finitely generated) right ideal is automorphism invariant and rings in which every right ideal is a finite direct sum of automorphism invariant ideals. Connections between these classes of rings, q-ring and Σ-q-rings are also considered

Related

• Rings with each right ideal automorphism-invariant
• Rings of Invariant Module Type and Automorphism-Invariant Modules
• Automorphism-invariant non-singular rings and modules
• Automorphism-invariant modules
• Rings and modules which are stable under automorphisms of their injective hulls