Weakly automorphism invariant modules and essential tightness

DOI10.1080/00927872.2016.1238094zbMath1368.16007OpenAlexW2542365712MaRDI QIDQ4978411

Serap Sahinkaya, Truong Cong Quynh, Muhammet Tamer Koşan

Publication date: 10 August 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2016.1238094

zbMATH Keywords

QF-ringGoldie ringautomorphism-invariant moduletight moduleCEP-ringweakly-injective module

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Automorphisms and endomorphisms (16W20) Units, groups of units (associative rings and algebras) (16U60)

Related Items (2)

Rings whose proper (principal) right ideals are strongly compressible ⋮ Weakly dual automorphism invariant and superfluous cotightness

Cites Work

• New characterizations of pseudo-Frobenius rings and a generalization of the FGF conjecture
• Rings and modules which are stable under automorphisms of their injective hulls.
• Rings with each right ideal automorphism-invariant.
• Rings whose cyclics are essentially embeddable in projective modules
• Modules invariant under automorphisms of their covers and envelopes.
• Automorphism-invariant modules satisfy the exchange property.
• Quasi-Injective Modules and Irreducible Rings
• Qi-filters and tight modules
• On a class of QI-rings
• Rings characterized by their weakly-injective modules
• Strongly compressible modules and semiprime right goldie rings
• A note on tightness
• Some characterizations of semiprime Goldie rings
• MODULES WHICH ARE INVARIANT UNDER AUTOMORPHISMS OF THEIR INJECTIVE HULLS
• On automorphism-invariant modules
• Automorphism-invariant modules.

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