Generalized fractions and the monomial conjecture

DOI10.1016/0021-8693(85)90128-0zbMath0558.13012OpenAlexW2087167977WikidataQ123009066 ScholiaQ123009066MaRDI QIDQ762564

Rodney Y. Sharp, Hossein Zakeri

Publication date: 1985

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90128-0

zbMATH Keywords

system of parametersmonomial conjecturelocal cohomology moduleNoetherian local ringgeneralized fractionss.o.p.

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Commutative Noetherian rings and modules (13E05) Local cohomology and algebraic geometry (14B15) Local rings and semilocal rings (13H99) Rings of fractions and localization for commutative rings (13B30)

Related Items (5)

Direct limit systems, generalized fractions and complexes of Cousin type ⋮ On the lengths of Koszul homology modules and generalized fractions ⋮ Generalized fractions and Hughes' gradetheoretic analogue of the Cousin complex ⋮ A Note on the Monomial Conjecture ⋮ Lengths of certain generalized fractions

Cites Work

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• Canonical elements in local cohomology modules and the direct summand conjecture
• Local cohomology and modules of generalized fractions
• Modules of generalized fractions
• LOCAL COHOMOLOGY THEORY IN COMMUTATIVE ALGEBRA
• AN ELEMENTARY PROOF OF THE NON-VANISHING OF CERTAIN LOCAL COHOMOLOGY MODULES
• GENERALIZED KOSZUL COMPLEXES AND ARTINIAN MODULES
• Contracted ideals from integral extensions of regular rings
• Coprimary Decomposition of Artinian Modules

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