Approximations of complete modules by complete big Cohen-Macaulay modules over a Cohen-Macaulay local ring

DOI10.1007/S10468-009-9151-8zbMath1176.13002OpenAlexW2149172269MaRDI QIDQ838979

Anne-Marie Simon

Publication date: 1 September 2009

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-009-9151-8

zbMATH Keywords

Cohen-Macaulay modulecoverlocal ringenvelopecomplete module

Mathematics Subject Classification ID

Cohen-Macaulay modules (13C14) Injective and flat modules and ideals in commutative rings (13C11) Complete rings, completion (13J10) Torsion theory for commutative rings (13D30)

Related Items (6)

Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories ⋮ Remarks on derived complete modules and complexes ⋮ Differential graded Koszul duality: An introductory survey ⋮ THE STRUCTURE OF BALANCED BIG COHEN–MACAULAY MODULES OVER COHEN–MACAULAY RINGS ⋮ The homotopy theory of complete modules ⋮ A Separated Cohomologically Complete Module is Complete

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• Reduced Bass numbers, Auslanders δ-invariant and certain homological conjectures
• Finitely Generated Modules of Finite Injective Dimension Over Certain Cohen-Macaulay Rings^†
• Some homological properties of complete modules

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