Quintasymptotic primes and four results of Schenzel

DOI10.1016/0022-4049(87)90052-1zbMath0641.13005OpenAlexW2023905020MaRDI QIDQ1100515

Stephen McAdam

Publication date: 1987

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(87)90052-1

zbMATH Keywords

adic topologyRees ringsasymptotic prime divisorstopologies defined by the filtrations

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Topological rings and modules (13J99)

Related Items (21)

On the equivalence of the integral symbolic and adic topologies ⋮ Asymptotic behavior of integral closures, quintasymptotic primes and ideal topologies ⋮ On the symbolic topology on an ideal ⋮ Certain ideals for which \(I_ 1 \dots I_ g=I_ 1\cap \dots \cap I_ g\) ⋮ Bounds related to projective equivalence classes of ideals ⋮ On quasi-factorial domains ⋮ Locally unmixed modules and linearly equivalent ideal topologies ⋮ Symbolic powers and local cohomology ⋮ A note on quintasymptotic prime ideals ⋮ Symbolic powers, integral closure and local cohomology ⋮ Notes on projectively related ideals and residual division ⋮ Symbolic powers and the associated graded ring ⋮ Some results on top local cohomology modules with respect to a pair of ideals ⋮ On the asymptotic sequences over an ideal ⋮ QUINTESSENTIAL PRIMES AND IDEAL TOPOLOGIES OVER A MODULE ⋮ Uniform equivalence of symbolic and adic topologies ⋮ On the grade and cograde of a Noetherian filtration ⋮ Asymptotic Sequences over Ideals and Projectively Equivalent Ideals with Respect to Modules ⋮ Equivalence of symbolic and adic topologies ⋮ A Characterization of locally quasi-unmixed rings ⋮ On the Irreducible Components of the Form Ring and an Application to Intersection Cycles

Cites Work

• Essential prime divisors and projectively equivalent ideals
• Filtrations, Rees rings, and ideal transforms
• Essential sequences
• Prime divisors, asymptotic R-sequences and unmixed local rings
• On linearly equivalent ideal topologies
• On linear equivalence of the P-adic and P-symbolic topologies
• Asymptotic prime divisors and going down
• Local domains with bad sets of formal prime divisors
• U–essential prime divisors and sequences over an ideal
• Finiteness of Relative REES Rings and Asymptotic Prime Divisors
• Fibres formelles d'un anneau local noethérien

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