Structure of some Noetherian SI rings

DOI10.1016/S0021-8693(02)00095-9zbMath1028.16003MaRDI QIDQ1858170

Dinh Van Huynh

Publication date: 12 February 2003

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

zbMATH Keywords

direct sumscyclic modulesprojective modulesinjective modulessingular modulesNoetherian SI-ringsright CDPI rings

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) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items

Rings whose modules have maximal or minimal projectivity domain. ⋮ Some results on V-rings and weakly V-rings. ⋮ AN AFFIRMATIVE ANSWER TO A QUESTION ON NOETHERIAN RINGS ⋮ A decomposition theorem for \(\wp^*\)-semisimple rings. ⋮ On subinjectivity domains of pure-injective modules ⋮ Rings whose modules have maximal or minimal injectivity domains. ⋮ Characterizing rings by a direct decomposition property of their modules ⋮ Projectivity relative to closed (neat) submodules ⋮ Rings whose cyclics are U-modules

Cites Work

• On hereditary rings and Noetherian V-rings
• Cyclic modules whose quotients have all complement submodules direct summands
• Decomposing modules into projectives and injectives
• Some results on SI-rings
• On some classes of Artinian rings
• When are proper cyclics injective?
• A Right PCI Ring is Right Noetherian
• Rings whose Indecomposable Injective Modules are Uniserial
• Rings Characterized by their Cyclic Modules
• On the symmetry of the Goldie and CS conditions for prime rings
• Homological properties of the ring of differential polynomials
• Singular torsion and the splitting properties
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