Full Ideals

DOI10.1080/00927870902747340zbMath1171.13012OpenAlexW4252516207MaRDI QIDQ3395611

Sunsook Noh, Heisook Lee, David E. Rush, Jooyoun Hong

Publication date: 11 September 2009

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

Full work available at URL: https://doi.org/10.1080/00927870902747340

zbMATH Keywords

integrally closed idealcontracted idealbasically full ideal\(m\)-full idealfull idealideal with rees property

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Integral closure of commutative rings and ideals (13B22) Regular local rings (13H05)

Related Items (7)

When is tight closure determined by the test ideal? ⋮ \(\mathfrak{m}\)-full and basically full ideals in rings of characteristic \(p\) ⋮ The weak Lefschetz property for \(\mathfrak{m}\)-full ideals and componentwise linear ideals ⋮ Burch ideals and Burch rings ⋮ On colon operations and special types of ideals ⋮ CONTRACTED, -FULL AND RELATED CLASSES OF IDEALS IN LOCAL RINGS ⋮ Integral closure, basically full closure, and duals of nonresidual closure operations

Cites Work

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• Integral closedness of \(MI\) and the formula of Hoskin and Deligne for finitely supported complete ideals
• Integral closedness of complete-intersection ideals
• Basically full ideals in local rings.
• Graded rings associated with contracted ideals
• Asymptotic Primes and Integral Closure in Modules
• Quadratic transform of complete ideals in regular local rings
• ▵-Reductions of modules

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