On the symmetry of the Goldie and CS conditions for prime rings

DOI10.1090/S0002-9939-00-05381-8zbMath0971.16013OpenAlexW2148464708MaRDI QIDQ4505864

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

Publication date: 3 October 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05381-8

zbMATH Keywords

direct summandssemiprime ringsprime ringsright Goldie ringsuniform dimensionsright CS rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Prime and semiprime associative rings (16N60) Other classes of modules and ideals in associative algebras (16D80) Homological dimension in associative algebras (16E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (7)

CS matrix rings over local rings ⋮ The symmetry of the CS condition on one-sided ideals in a prime ring. ⋮ A STUDY OF UNIFORM ONE-SIDED IDEALS IN SIMPLE RINGS ⋮ Prime Goldie Rings of Uniform Dimension at Least Two and with All One-Sided Ideals CS Are Semihereditary ⋮ Some results and questions on left-right symmetry ⋮ Right-Left Symmetry of Right Nonsingular Right Max-Min CS Prime Rings ⋮ Structure of some Noetherian SI rings

Cites Work

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