Co-Cohen-Macaulay Artinian modules over commutative rings

DOI10.1017/S0017089500031797zbMath0899.13012OpenAlexW2005148237MaRDI QIDQ4365272

Rodney Y. Sharp, İsmail Hakki Denizler

Publication date: 3 November 1997

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500031797

zbMATH Keywords

dualitycomplete local ringmodules of generalized fractionsartinian modulecodepthco-Cohen-Macaulay module

Mathematics Subject Classification ID

Cohen-Macaulay modules (13C14) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Completion of commutative rings (13B35) Rings of fractions and localization for commutative rings (13B30)

Related Items

On Sequentially Co-Cohen–Macaulay Modules ⋮ Generalized Co-Cohen–Macaulay and Co-Buchsbaum Modules ⋮ Co-Cohen-Macaulay modules and local cohomology ⋮ Hilbert–Samuel multiplicity and Northcott’s inequality relative to an Artinian module ⋮ On the dual of Hilbert coefficients and width of the associated graded modules over Artinian modules

Cites Work

• Asymptotic behaviour of integral closures of ideals relative to Artinian modules
• On the Generalized Fractions of Sharp and Zakeri
• Artinian modules over commutative rings
• KRULL DIMENSION FOR ARTINIAN MODULES OVER QUASI LOCAL COMMUTATIVE RINGS
• Co-cohen-macaulay modules and modules of generalized fractions