Prime Goldie Rings of Uniform Dimension at Least Two and with All One-Sided Ideals CS Are Semihereditary

DOI10.1081/AGB-120023960zbMath1045.16009OpenAlexW2057357220MaRDI QIDQ4429447

Dinh Van Huynh, Sergio R. López-Permouth, Surender Kumar Jain

Publication date: 25 September 2003

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

Full work available at URL: https://doi.org/10.1081/agb-120023960

zbMATH Keywords

prime ringsCS-modulessemihereditary ringsright Goldie rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Ideals in associative algebras (16D25) Homological dimension in associative algebras (16E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (3)

Simple rings with injectivity conditions on one-sided ideals ⋮ A STUDY OF UNIFORM ONE-SIDED IDEALS IN SIMPLE RINGS ⋮ A CHARACTERIZATION OF CO-HARADA RING

Cites Work

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• On hereditary rings and Boyle's conjecture
• Rings with quasi-continuous right ideals
• A COUNTEREXAMPLE FOR CS-RINGS
• On the symmetry of the Goldie and CS conditions for prime rings
• On a generalisation of self-injective von Neumann regular rings
• Non-local rings whose ideals are all quasi-injective

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