Lengths of certain generalized fractions

DOI10.1016/0022-4049(85)90020-9zbMath0578.13008OpenAlexW1968991271MaRDI QIDQ1066203

M. A. Hamieh, Rodney Y. Sharp

Publication date: 1985

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(85)90020-9

zbMATH Keywords

system of parametersNoetherian local ringgeneralized Cohen-Macaulay local ringlength of module of generalized fraction

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Local cohomology and algebraic geometry (14B15) Rings of fractions and localization for commutative rings (13B30)

Related Items (12)

A Buchsbaum theory for tight closure ⋮ Some characterizations of pseudo Cohen–Macaulay modules ⋮ On the length of generalized fractions. ⋮ Pseudo Cohen-Macaulay and pseudo generalized Cohen-Macaulay modules. ⋮ On the lengths of Koszul homology modules and generalized fractions ⋮ The finiteness of certain sets of attached prime ideals and the length of generalized fractions. ⋮ Non Cohen-Macaulay locus of canonical modules ⋮ PSEUDO BUCHSBAUMNESS FOR IDEALIZATIONS OF NOETHERIAN MODULES OVER LOCAL RINGS ⋮ Generalized fractions and Hughes' gradetheoretic analogue of the Cousin complex ⋮ On the dimension of the non-Cohen–Macaulay locus of local rings admitting dualizing complexes ⋮ On the length of the powers of systems of parameters in local ring ⋮ On Generalized Cohen–Macaulay Canonical Modules

Cites Work

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• Generalized fractions and the monomial conjecture
• On the associativity formula for multiplicities
• Generalized fractions, determinantal maps, and top cohomology modules
• Local cohomology and modules of generalized fractions
• Modules of generalized fractions
• On the Generalized Fractions of Sharp and Zakeri
• Verallgemeinerte COHEN-MACAULAY-Moduln
• An application of modules of generalized fractions to grades of ideals and Gorenstein rings
• LOCAL COHOMOLOGY THEORY IN COMMUTATIVE ALGEBRA
• AN ELEMENTARY PROOF OF THE NON-VANISHING OF CERTAIN LOCAL COHOMOLOGY MODULES

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