Pure Projective Approximations
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Publication:3598114
DOI10.1017/S0305004108001746zbMath1176.16007MaRDI QIDQ3598114
Publication date: 30 January 2009
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
pure projective modulesfinitely presented modulespure injective modulescovariantly finite subcategoriesdefinable subcategoriespreenveloping subcategories
Model-theoretic algebra (03C60) Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30)
Related Items
Pure projective tilting modules, The Ziegler spectrum and Ringel's quilt of the \(A\)-infinity plane curve singularity, WHEN COTORSION MODULES ARE PURE INJECTIVE, The Ziegler spectrum of the $D$-infinity plane singularity
Cites Work
- Preprojective modules over Artin algebras
- Flat covers of modules
- Purity and algebraic compactness for modules
- Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
- CLASSIFYING PROJECTIVE MODULES OVER SOME SEMILOCAL RINGS
- Locally finitely presented additive categories
- Rings characterized by (pre)envelopes and (pre)covers of their modules∗
- Tilting preenvelopes and cotilting precovers
- Some model theory over a nearly simple uniserial domain and decompositions of serial modules
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