A Right PCI Ring is Right Noetherian

DOI10.2307/2042705zbMath0425.16022OpenAlexW4254330703MaRDI QIDQ3859947

Robert F. Damiano

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2042705

zbMATH Keywords

cyclic right modulesright PCI ringsimple, right semi-hereditary, right Ore domain

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (23)

Unnamed Item ⋮ Rings whose cyclic modules are pure-injective or pure-projective ⋮ Leavitt path algebras: graded direct-finiteness and graded \(\Sigma\)-injective simple modules ⋮ On the Goldie dimension of rings and modules. ⋮ On rings with restricted minimum condition ⋮ Rings and modules characterized by opposites of injectivity. ⋮ On regular rings and self-injective rings ⋮ A characterization of artinian rings ⋮ Some results on V-rings and weakly V-rings. ⋮ On V-rings and unit-regular rings ⋮ Rings with restricted injective condition ⋮ Cyclic modules whose quotients have all complement submodules direct summands ⋮ A characterization of noetherian rings by cyclic modules ⋮ On the weak-injectivity profile of a ring ⋮ Quasi-projective modules over prime hereditary Noetherian V-rings are projective or injective. ⋮ Modules whose closed submodules are finitely generated ⋮ Cocritically nice rings and boyle' conjecture ⋮ Some results and questions on left-right symmetry ⋮ Skew-injective modules ⋮ When cyclic singular modules over a simple ring are injective ⋮ Rings characterized by cyclic modules ⋮ Modules ⋮ Structure of some Noetherian SI rings

Cites Work

• Torsion-Free and Divisible Modules Over Non-Integral-Domains
• Noninjective Cyclic Modules
• Unnamed Item
• Unnamed Item

This page was built for publication: A Right PCI Ring is Right Noetherian