An equivalence induced by Ext and Tor applied to the finitistic weak dimension of coherent rings

DOI10.1017/S0017089500032481zbMath0937.16010MaRDI QIDQ4400154

Elwood Wilkins

Publication date: 4 June 2000

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

zbMATH Keywords

Artinian ringsleft coherent ringsstable categoriesnatural equivalencesZiegler spectracategories of finitely presented right modulesfinitistic projective dimensions

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Module categories in associative algebras (16D90) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Homological dimension in associative algebras (16E10) Artinian rings and modules (associative rings and algebras) (16P20) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (2)

Unnamed Item ⋮ On Covers and Envelopes in Some Functor Categories

Cites Work

• The spectrum of a locally coherent category
• Model theory of modules
• Serial rings and finitely presented modules
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Representation theory of artin algebras iii almost split sequences
• The Ziegler Spectrum of a Locally Coherent Grothendieck Category
• Coherent Rings and Fp -Injective Modules

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