A STUDY OF UNIFORM ONE-SIDED IDEALS IN SIMPLE RINGS

DOI10.1017/S0017089507003825zbMath1172.16001MaRDI QIDQ5448982

John Clark, Dinh Van Huynh

Publication date: 10 March 2008

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

left semihereditary ringssimple ringsuniform modulesright Goldie ringsuniform direct summandsCS modulesmatrix rings over Bézout domains

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (3)

Some results on V-rings and weakly V-rings. ⋮ Several generalizations of the Wedderburn-Artin theorem with applications ⋮ Some results and questions on left-right symmetry

Cites Work

• On direct sums of extending modules and internal exchange property
• \(\Sigma\)-extending modules
• Two Examples of Principal Ideal Domains
• Right Principal Bezout Domains
• RINGS IN WHICH EVERY COMPLEMENT RIGHT IDEAL IS A DIRECT SUMMAND
• Prime Goldie Rings of Uniform Dimension at Least Two and with All One-Sided Ideals CS Are Semihereditary
• On the symmetry of the Goldie and CS conditions for prime rings
• Simple Rings with Uniform Right Ideals

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