Simple rings with injectivity conditions on one-sided ideals

DOI10.1017/S0004972700039691zbMath1143.16004WikidataQ122964596 ScholiaQ122964596MaRDI QIDQ5438369

John Clark, Dinh Van Huynh

Publication date: 23 January 2008

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

direct sumsdirect summandssimple ringsuniform right idealsquasi-continuous modulesright self-injective ringsright Goldie ringsCS modulessimple regular ringsquasi-continuous right ideals

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) 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) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items

Rings all of whose right ideals are U-modules ⋮ Rings with each right ideal automorphism-invariant. ⋮ Some results on V-rings and weakly V-rings. ⋮ Utumi modules ⋮ Some results and questions on left-right symmetry

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