On linearly equivalent ideal topologies

DOI10.1016/0022-4049(86)90101-5zbMath0609.13016OpenAlexW1972504509MaRDI QIDQ1086633

Louis J. jun. Ratliff

Publication date: 1986

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(86)90101-5

zbMATH Keywords

Cohen-Macaulay ringNoetherian ringequivalent ideal topologies

Mathematics Subject Classification ID

Global topological rings (13J20) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (12)

Filtrations, Rees rings, and ideal transforms ⋮ On the relevant transform and the relevant component of an ideal ⋮ Quintasymptotic primes and four results of Schenzel ⋮ On the symbolic topology on an ideal ⋮ On ideals whose adic and symbolic topologies are linearly equivalent ⋮ On quasi-factorial domains ⋮ Two notes on ideal-transforms ⋮ Note on i-good filtrations and noetherian rees rings ⋮ Notes on projectively related ideals and residual division ⋮ Three Theorems on Form Rings ⋮ Five notes on asymptotic prime divisors ⋮ The topology determined by the symbolic powers of primary ideals

Cites Work

• Unnamed Item
• Five notes on asymptotic prime divisors
• Essential sequences
• Powers of ideals in locally unmixed Noetherian rings
• A theorem on prime divisors of zero and characterizations of unmixed local domains
• A characterization of analytically unramified semi-local rings and applications
• Symbolic Powers of Prime Ideals and Their Topology
• A note on form rings and ideals
• U–essential prime divisors and sequences over an ideal
• The topology determined by the symbolic powers of primary ideals
• Asymptotic Stability of Ass(M/I n M)
• Two Notes on Locally Macaulay Rings
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals (II)

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