scientific article; zbMATH DE number 7688250

DOI10.4134/bkms.b220123zbMath1517.16001MaRDI QIDQ6043629

Nguyen Thi Thu Ha

Publication date: 23 May 2023

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

finite exchange propertyfull exchange propertyautomorphism-invariant modulenilpotent-invariant modulesquare-free module

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Cites Work

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• Rings and modules which are stable under automorphisms of their injective hulls.
• Rings with each right ideal automorphism-invariant.
• Square-free modules with the exchange property.
• Module theory. Endomorphism rings and direct sum decompositions in some classes of modules
• Additive unit structure of endomorphism rings and invariance of modules
• Dual automorphism-invariant modules over perfect rings
• Rings whose (proper) cyclic modules have cyclic automorphism-invariant hulls
• Rings characterized via some classes of almost-injective modules
• INDEPENDENTLY GENERATED MODULES
• RIGHT SELF-INJECTIVE RINGS IN WHICH EVERY ELEMENT IS A SUM OF TWO UNITS
• MODULES WHICH ARE INVARIANT UNDER AUTOMORPHISMS OF THEIR INJECTIVE HULLS
• Nilpotent-invariant modules and rings
• On automorphism-invariant modules
• Modules which are invariant under nilpotents of their envelopes and covers
• Kernels of homomorphisms between uniform quasi-injective modules
• Rings all of whose finitely generated ideals are automorphism-invariant
• Modules close to the automorphism-invariant and coinvariant

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