Steady ideals and rings

zbMath0901.16002MaRDI QIDQ1378842

Jan Žemlička, Jan Trlifaj

Publication date: 5 October 1998

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1997__98__161_0

zbMATH Keywords

von Neumann regular ringsfinitely generated right moduleschain ringscountably generated idealsdually slender modulessteady rings

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (4)

The defect functor of a homomorphism and direct unions ⋮ Modules \(M\) such that \(\mathrm{Ext}_R^1(M,-)\) commutes with direct limits. ⋮ Steadiness of regular semiartinian rings with primitive factors Artinian. ⋮ Modules Commuting (Via Hom) with Some Colimits

Cites Work

• Representable equivalences between categories of modules and applications
• On the structure of *-modules
• A counter-example in ring theory and homological algebra
• When is hom_R(M,−) equal to hom_R(M,−) in the category R-gr?
• Classes of generalized ∗-modules
• Strong Incompactness for Some Non-Perfect Rings
• Dually slender modules and steady rings
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