Noetherian prime rings of krull dimension one

DOI10.1080/00927877908822379zbMath0397.16005OpenAlexW2147670619MaRDI QIDQ4180474

Ron Richards

Publication date: 1979

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

Full work available at URL: http://hdl.handle.net/11375/13014

zbMATH Keywords

Krull DimensionTorsion TheoryClassical Ring of QuotientsGoldie Torsion TheoryModules Of Finite LengthNoetherian Prime RingsSemiprime IdealSimple Right Modules

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Prime and semiprime associative rings (16N60) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50)

Related Items

Two-sided localization in Noetherian PI-rings ⋮ An ideal1zer with respect to a link between maximal ideals ⋮ A note on the decompositiosi of σ-injective modules ⋮ Ideal invariance and localization ⋮ Modules

Cites Work

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• Hereditary Noetherian rings
• Decomposition of modules. I: Classical rings
• Hereditary Noetherian prime rings
• Ideals and modules of simple Noetherian hereditary rings
• Serial rings
• Localization and splitting in hereditary noetherian prime rings
• Modules Over Hereditary Noetherian Prime Rings
• Torsion Modules Over Free Ideal Rings
• Localization of Right Noetherian Rings at Semiprime Ideals
• Localization at a Torsion Theory in Hereditary Noetherian Rings

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