On the relevant transform and the relevant component of an ideal

DOI10.1016/0021-8693(87)90233-XzbMath0631.13004OpenAlexW2065518582MaRDI QIDQ1094461

Louis J. jun. Ratliff, Ahmad Mirbagheri

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90233-x

zbMATH Keywords

Rees ringrelevant component of an idealrelevant transform

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items

The ratliff-rush ideals in a noetherian ring ⋮ Superficial sets of elements for sets of ideals ⋮ Filtrations, closure operations and prime divisors ⋮ Asymptotic Primes of Ratliff–Rush Closure of Ideals with Respect to Modules ⋮ Ratliff–Rush closures and linear growth of primary decompositions of ideals ⋮ Sporadic and Irrelevant Prime Divisors ⋮ A note on reductions of ideals relative to an Artinian module

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• Note on Analytically Unramified Semi-Local Rings