A COUSIN COMPLEX CHARACTERIZATION OF BALANCED BIG COHEN-MACAULAY MODULES

DOI10.1093/qmath/33.4.471zbMath0501.13010OpenAlexW2075102967MaRDI QIDQ3966258

Rodney Y. Sharp

Publication date: 1982

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/33.4.471

zbMATH Keywords

system of parametersNoetherian ringdimension filtrationSpeccatenary local domainbalanced big Cohen-Macaulay modulesexact Cousin complex

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative Noetherian rings and modules (13E05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Regular local rings (13H05) Relevant commutative algebra (14A05) Local rings and semilocal rings (13H99)

Related Items (20)

Fibre products of Noetherian rings and their applications ⋮ G-Gorenstein Modules ⋮ Direct limit systems, generalized fractions and complexes of Cousin type ⋮ Unnamed Item ⋮ Cousin complexes and generalized fractions ⋮ Complexes of Cousin type and modules of generalized fractions ⋮ Reductions towards a characteristic free proof of the Canonical Element Theorem ⋮ Unnamed Item ⋮ Systems of parameters for non‐finitely generated modules and big Cohen–Macaulay modules ⋮ Balanced big Cohen-Macaulay modules and flat extensions of rings ⋮ A characterization of generalized Hughes complexes ⋮ Extension functors of Cousin cohomology modules ⋮ Duality for a Cohen–Macaulay Local Ring ⋮ Generalized fractions and Hughes' gradetheoretic analogue of the Cousin complex ⋮ Gorenstein Injective Resolutions, Cousin Complexes and Top Local Cohomology Modules ⋮ On the existence of maximal Cohen-Macaulay modules over Noetherian complete local rings ⋮ Certain countably generated big Cohen-Macaulay modules are balanced ⋮ A generalization of the dualizing complex structure and its applications ⋮ Cousin complexes and flat ring extensions ⋮ Balanced big Cohen-Macaulay modules and ring extensions

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