Relative Ext groups, resolutions, and Schanuel classes.

zbMath1178.16006arXivmath/0610844MaRDI QIDQ953935

Henrik Holm

Publication date: 7 November 2008

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610844

zbMATH Keywords

projective resolutionssyzygy modulesprecovering classesrelative Ext-functorsrelative projectives

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Syzygies, resolutions, complexes in associative algebras (16E05)

Related Items (1)

Infinitely generated Gorenstein tilting modules

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Balanced functors applied to modules
• Homological algebra in Abelian categories
• Existence of Gorenstein projective resolutions and Tate cohomology
• Injective and flat covers, envelopes and resolvents
• Flat covers of modules
• Relative homological algebra
• \(\lambda\) and \(\mu\)-dimensions of modules.
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• ALL MODULES HAVE FLAT COVERS
• Relative Homological Algebra
• INJECTIVE RESOLVENTS AND PREENVELOPES
• On pure global dimension of locally finitely presented Grothendieck categories
• Torsion Free Covering Modules

This page was built for publication: Relative Ext groups, resolutions, and Schanuel classes.