Reductions and Integral Closures of Ideals Relative to an Artinian Module

DOI10.1112/jlms/s2-37.2.203zbMath0656.13001OpenAlexW1979944080MaRDI QIDQ3803225

A. J. Taherizadeh, Rodney Y. Sharp

Publication date: 1988

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-37.2.203

zbMATH Keywords

reductionsintegral closureattached primesartinian module

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (16)

On the dual of Burch's inequality ⋮ Integral closures of ideals relative to Artinian modules, and exact sequences ⋮ On asymptotic stability for sets of prime ideals connected with the powers of an ideal ⋮ On certain graded artinian modules ⋮ On a question of D. Rees on classical integral closure and integral closure relative to an Artinian module ⋮ On shifted principles of generalized local cohomology modules ⋮ Some results on top local cohomology modules with respect to a pair of ideals ⋮ Asymptotic behaviour of attached primes ⋮ Integral closures, local cohomology and ideal topologies ⋮ Asymptotic behaviour of integral closures of ideals relative to Artinian modules ⋮ Asymptotic behaviour of integral closures of ideals ⋮ Hilbert–Samuel multiplicity and Northcott’s inequality relative to an Artinian module ⋮ A note on reductions of ideals relative to an Artinian module ⋮ On the dual of Hilbert coefficients and width of the associated graded modules over Artinian modules ⋮ Co-cohen-macaulayness of certain graded artinian modules ⋮ On integral closure and asymptotic behaviour

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