Modules invariant under monomorphisms of their envelopes

DOI10.1090/conm/715/14410zbMath1398.16003OpenAlexW2892369672MaRDI QIDQ4961946

Pedro A. Guil Asensio, Ashish K. Srivastava, Derya Keskin Tütüncü

Publication date: 29 October 2018

Published in: Advances in Rings and Modules (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/715/14410

zbMATH Keywords

unit-regular ringdirectly finite module\(\mathcal{X}\)-automorphism coinvariant module\(\mathcal{X}\)-automorphism invariant module\(\mathcal{X}\)-monomorphism invariant module

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Other classes of modules and ideals in associative algebras (16D80)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Modules which are coinvariant under automorphisms of their projective covers.
• Rings and modules which are stable under automorphisms of their injective hulls.
• Pseudosimilarity and cancellation of modules
• Stable range one for exchange rings
• Additive unit structure of endomorphism rings and invariance of modules
• Modules invariant under automorphisms of their covers and envelopes.
• Automorphism-invariant modules satisfy the exchange property.
• Pseudo-Injective Modules Which are not Quasi-Injective
• Modules which are invariant under monomorphisms of their injective hulls