When is a Nakayama closure semiprime?

DOI10.1216/JCA-2014-6-3-439zbMath1326.13001OpenAlexW2022798180MaRDI QIDQ471982

Janet C. Vassilev

Publication date: 18 November 2014

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

Full work available at URL: https://projecteuclid.org/euclid.jca/1416233326

zbMATH Keywords

closure operationsemiprime operationNakayama operation

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Ideals and multiplicative ideal theory in commutative rings (13A15)

Cites Work

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• The core of zero-dimensional monomial ideals
• Reductions and special parts of closures
• Notes on ideal covers and associated primes
• Basically full ideals in local rings.
• Structure on the set of closure operations of a commutative ring
• A look at the prime and semiprime operations of one-dimensional domains
• A guide to closure operations in commutative algebra
• Closure Operations on Ideals and Submodules
• A tight closure analogue of analytic spread

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