Prime divisors, asymptotic R-sequences and unmixed local rings

DOI10.1016/0021-8693(85)90092-4zbMath0601.13009OpenAlexW2057867311MaRDI QIDQ1080897

Daniel Katz

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90092-4

zbMATH Keywords

system of parametersmaximal asymptotic R-sequenceminimal depthunmixed local rings

Mathematics Subject Classification ID

Divisibility and factorizations in commutative rings (13A05) Local rings and semilocal rings (13H99)

Related Items

Filtrations, Rees rings, and ideal transforms ⋮ Quintasymptotic primes and four results of Schenzel ⋮ On the symbolic topology on an ideal ⋮ On ideals whose adic and symbolic topologies are linearly equivalent ⋮ Symbolic Powers of Prime Ideals and Their Topology ⋮ Locally unmixed modules and linearly equivalent ideal topologies ⋮ Persistent primes and projective extensions of ideals ⋮ QUINTESSENTIAL PRIMES AND IDEAL TOPOLOGIES OVER A MODULE ⋮ Locally unmixed modules and ideal topologies ⋮ Uniform equivalence of symbolic and adic topologies ⋮ Essential prime divisors and projectively equivalent ideals ⋮ Asymptotic growth of algebras associated to powers of ideals ⋮ Grade Schemes and Grade Functions ⋮ U–essential prime divisors and sequences over an ideal

Cites Work

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• A Note on Asymptotic Prime Sequences
• On the number of Elements Independent with respect to an Ideal
• Asymptotic Stability of Ass(M/I n M)
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals, (I)
• Note on coefficient fields of complete local rings
• A Note on Analytically Unramified Local Rings

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