Injective and Automorphism-Invariant Non-Singular Modules

2017/04/26 by Tuganbaev, Askar
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1704.08341

Abstract

Every automorphism-invariant right non-singular A-module is injective if and only if the factor ring of the ring A with respect to its right Goldie radical is a right strongly semiprime ring.

Related

• Automorphism-invariant non-singular rings and modules
• Modules over strongly semiprime ring
• Rings and modules which are stable under automorphisms of their injective hulls
• Automorphism-invariant modules
• Rings of Invariant Module Type and Automorphism-Invariant Modules