scientific article; zbMATH DE number 849309

zbMath0845.16009MaRDI QIDQ4865890

Jan Trlifaj

Publication date: 11 September 1996

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

simple ringssemiartinian ringsfinitely generated right modulessmall modulesdirect product of ringsinfinite set of orthogonal idempotentsleft and right steady ringsnon-steady rings

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (10)

The defect functor of a homomorphism and direct unions ⋮ Small Modules over Abelian Regular Rings ⋮ Closure properties of \(\varinjlim \mathcal{C}\) ⋮ Modules \(M\) such that \(\mathrm{Ext}_R^1(M,-)\) commutes with direct limits. ⋮ Steadiness of regular semiartinian rings with primitive factors Artinian. ⋮ Steady ideals and rings ⋮ When Products of Self-Small Modules are Self-Small ⋮ Unnamed Item ⋮ When every self-small module is finitely generated. ⋮ Modules Commuting (Via Hom) with Some Colimits

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