Equivalence of symbolic and adic topologies

DOI10.1142/S0219498819501494zbMath1431.13021OpenAlexW2887734689MaRDI QIDQ5230115

Adeleh Azari, Simin Mollamahmoudi, Reza Naghipour

Publication date: 20 August 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498819501494

zbMATH Keywords

symbolic powersassociated prime idealsideal topologyunmixed module

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15)

Cites Work

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• Asymptotic primes and asymptotic grades on modules
• A characterization of Cohen-Macaulay modules and local cohomology
• Affine duality and cofiniteness
• QUINTESSENTIAL PRIMES AND IDEAL TOPOLOGIES OVER A MODULE
• Associated primes, integral closures and ideal topologies
• U–essential prime divisors and sequences over an ideal
• Finiteness of Relative REES Rings and Asymptotic Prime Divisors
• Asymptotic Stability of Ass(M/I n M)
• The asymptotic nature of the analytic spread
• Locally unmixed modules and ideal topologies

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