Local cohomology and modules of generalized fractions

DOI10.1112/S0025579300012389zbMath0523.13001MaRDI QIDQ3674786

Rodney Y. Sharp, Hossein Zakeri

Publication date: 1982

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

system of parameterslocal cohomology moduleNoetherian local ringmodules of generalized fractionsHochster monomial conjecture

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Local cohomology and algebraic geometry (14B15) Local rings and semilocal rings (13H99) Rings of fractions and localization for commutative rings (13B30)

Related Items (15)

Modules of generalized fractions and general local cohomology modules ⋮ Residues for Akizuki’s one-dimensional local domain ⋮ Frobenius test exponents for parameter ideals in generalized Cohen-Macaulay local rings ⋮ Lyubeznik numbers, 𝐹-modules and modules of generalized fractions ⋮ On the length of generalized fractions. ⋮ Complexes of Cousin type and modules of generalized fractions ⋮ The finiteness of certain sets of attached prime ideals and the length of generalized fractions. ⋮ On the Matlis duals of local cohomology modules and modules of generalized fractions ⋮ Comparison of Certain Complexes of Modules of Generalized Fractions and Čech Complexes ⋮ Generalized fractions and the monomial conjecture ⋮ Generalized fractions, determinantal maps, and top cohomology modules ⋮ Uniform behaviour of the Frobenius closures of ideals generated by regular sequences ⋮ Characterizations of filter regular sequences and unconditioned strong d-sequences ⋮ Lengths of certain generalized fractions ⋮ Residues and duality for singularity categories of isolated Gorenstein singularities

Cites Work

• Unnamed Item
• LOCAL COHOMOLOGY THEORY IN COMMUTATIVE ALGEBRA
• AN ELEMENTARY PROOF OF THE NON-VANISHING OF CERTAIN LOCAL COHOMOLOGY MODULES
• Contracted ideals from integral extensions of regular rings

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