On \((\aleph,U)\)-coherence of modules and rings.

DOI10.1007/s10114-003-0294-yzbMath1068.16002OpenAlexW2006522391MaRDI QIDQ1888706

Liu, Zhongkui, Ahsan, Javed

Publication date: 26 November 2004

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-003-0294-y

zbMATH Keywords

flat modulesfinitely presented modules\((\aleph, U)\)-coherent dimension\((\aleph,U)\)-coherence

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Homological dimension in associative algebras (16E10) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Cites Work

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• Uniform dimension and subdirect products
• Left \(\aleph\)-coherent dimension of rings
• On right duo p.p. rings
• Subdirect products of injectives
• Large subdirect products of projective modules
• Coherence relative to an hereditary torsion theory
• Large subdirect products of graded modules
• N-Products of injective objects in grothendieck categories
• On relative coherence and applications^∗
• Large subdirect products of flat modules

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