Pure-minimal chain complexes

DOI10.4171/RSMUP/29zbMath1454.16001arXiv1801.00302OpenAlexW2962941142WikidataQ127711519 ScholiaQ127711519MaRDI QIDQ2177975

Lars Winther Christensen, Peder Thompson

Publication date: 7 May 2020

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.00302

zbMATH Keywords

perfect ringflat dimensionpure-minimal chain complex

Mathematics Subject Classification ID

Noncommutative local and semilocal rings, perfect rings (16L30) Syzygies, resolutions, complexes in associative algebras (16E05) Homological dimension in associative algebras (16E10)

Related Items (5)

The trace property in preenveloping classes ⋮ Minimal semi-flat-cotorsion replacements and cosupport ⋮ Rigidity of Ext and Tor via flat–cotorsion theory ⋮ Homotopy categories of totally acyclic complexes with applications to the flat–cotorsion theory ⋮ Matrix factorizations for self-orthogonal categories of modules

Cites Work

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• The direct limit closure of perfect complexes
• Homological dimension and syzygies
• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Homological dimensions of unbounded complexes
• Periodic modules and acyclic complexes
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• Periodic flat modules, and flat modules for finite groups.

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