Filtering modules of finite projective dimension

DOI10.1515/form.2003.020zbMath1035.16005OpenAlexW2054697507MaRDI QIDQ4807670

Henning Krause, Øyvind Solberg

Publication date: 25 May 2003

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2003.020

zbMATH Keywords

tilting modulesprojective dimensioncategories of modulesfiltrationsArtin algebraspure-injective modulesfinitistic dimension

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Representations of associative Artinian rings (16G10) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Homological dimension in associative algebras (16E10) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items

Wakamatsu tilting modules. ⋮ Classifying dense resolving and coresolving subcategories of exact categories via Grothendieck groups ⋮ Cotorsion pairs generated by modules of bounded projective dimension. ⋮ Cotilting with balanced big Cohen-Macaulay modules ⋮ A characterization of \(n\)-cotilting and \(n\)-tilting modules. ⋮ The countable telescope conjecture for module categories. ⋮ Singularity categories and singular equivalences for resolving subcategories ⋮ Cohen-Macaulay modules, (co)torsion pairs and virtually Gorenstein algebras. ⋮ Cotilting modules are pure-injective ⋮ Pure-injectivity in the category of Gorenstein projective modules ⋮ Limits of pure-injective cotilting modules.

Cites Work

• Covers induced by Ext
• Applications of contravariantly finite subcategories
• The homological theory of maximal Cohen-Macaulay approximations