Asymptotic Sequences over a Module

DOI10.1080/00927872.2011.561509zbMath1350.13011OpenAlexW2019068622MaRDI QIDQ3164962

Glenn Rice

Publication date: 18 October 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.561509

zbMATH Keywords

analytic spreadcommutative algebraintegral closureRees ring

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Cites Work

• Asymptotic prime divisors
• On the asymptotic properties of the Rees powers of a module
• A Simple Algorithm for Cyclic Vectors
• Rings associated with ideals and analytic spread
• The asymptotic nature of the analytic spread
• Prime ideals associated to symmetric powers of a module

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