Covers and Envelopes of Complexes

DOI10.1080/00927872.2010.533222zbMath1248.16008OpenAlexW2127080255MaRDI QIDQ2880420

Gang Yang, Liu, Zhongkui

Publication date: 13 April 2012

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2010.533222

zbMATH Keywords

coversprecoversenvelopespreenvelopescotorsion pairscomplexes of modulesflat dimension of complexes

Mathematics Subject Classification ID

Syzygies, resolutions, complexes in associative algebras (16E05) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Homological dimension in associative algebras (16E10)

Cites Work

• Unnamed Item
• Gorenstein dimensions
• Flat covers of modules
• Relative homological algebra
• Über injektive Moduln
• Flat covers and cotorsion envelopes of sheaves
• ALL MODULES HAVE FLAT COVERS
• Envelopes and Covers by Modules of FiniteFP-Injective and Flat Dimensions
• The flat model structure on 𝐂𝐡(𝐑)
• !THE $\aleph_1$-PRODUCT OF DG-INJECTIVE COMPLEXES
• Relative Cotorsion Modules and Relative Flat Modules
• Character modules, dimension and purity
• Covers and envelopes in Grothendieck categories: Flat covers of complexes with applications

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