On linear equivalence of the P-adic and P-symbolic topologies

DOI10.1016/0022-4049(87)90092-2zbMath0619.13013OpenAlexW2075245467MaRDI QIDQ1089391

Sam Huckaba

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)90092-2

zbMATH Keywords

P-adic topologyP-symbolic topologysymbolic power of ideal

Mathematics Subject Classification ID

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

Related Items (10)

Reduction numbers for ideals of analytic spread one ⋮ Depth Functions and Symbolic Depth Functions of Homogeneous Ideals ⋮ Asymptotic prime ideals of \(S_{2}\)-filtrations ⋮ Quintasymptotic primes and four results of Schenzel ⋮ Symbolic powers of prime ideals with applications to hypersurface rings ⋮ Notes on projectively related ideals and residual division ⋮ QUINTESSENTIAL PRIMES AND IDEAL TOPOLOGIES OVER A MODULE ⋮ Analytic spread modulo an element and symbolic Rees algebras ⋮ Asymptotic growth of algebras associated to powers of ideals ⋮ Depth functions of powers of homogeneous ideals

Cites Work

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• Asymptotic prime divisors and going down
• On the associated graded ring of an ideal
• On asymptotic prime divisors
• Symbolic Powers of Prime Ideals and Their Topology
• The topology determined by the symbolic powers of primary ideals
• Asymptotic Prime Divisors and Analytic Spreads
• Asymptotic Stability of Ass(M/I n M)
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals, (I)

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