On image summand coinvariant modules and kernel summand invariant modules

DOI10.3906/MAT-1808-40zbMath1448.16006OpenAlexW2947008383WikidataQ127764741 ScholiaQ127764741MaRDI QIDQ5229856

Yoshiharu Shibata, Yosuke Kuratomi, Derya Keskin Tütüncü

Publication date: 19 August 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1808-40

zbMATH Keywords

perfect ringquasi-projectivequasi-injectivepseudo-injectiveim-summand coinvariantker-summand invariantpseudo-projective

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70)

Related Items (3)

Almost projective modules and generalized projective modules ⋮ On modules and rings having large absolute direct summands ⋮ On generalized injective modules and almost injective modules

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Goldie-extending modules with finite internal exchange property
• Modules which are coinvariant under automorphisms of their projective covers.
• Rings and modules which are stable under automorphisms of their injective hulls.
• Additive unit structure of endomorphism rings and invariance of modules
• Supplement submodules and a generalization of projective modules.
• The exchange property of quasi-continuous modules with the finite exchange property
• Dual automorphism-invariant modules.
• Pseudo projective modules which are not quasi projective and quivers
• On quasi projectives
• Algebras for which every indecomposable right module is invariant in its injective envelope
• On H-Supplemented Modules
• Quasi-Injective Modules and Irreducible Rings
• Strongly Discrete Modules
• Goldie Extending Modules
• Quasi-Injective and Pseudo-Infective Modules
• MODULES WHICH ARE INVARIANT UNDER AUTOMORPHISMS OF THEIR INJECTIVE HULLS
• Rings of Invariant Module Type and Automorphism-Invariant Modules
• DIRECT SUMS OF H-SUPPLEMENTED MODULES

This page was built for publication: On image summand coinvariant modules and kernel summand invariant modules