CONTRACTED, -FULL AND RELATED CLASSES OF IDEALS IN LOCAL RINGS

DOI10.1017/S0017089512000833zbMath1278.13029MaRDI QIDQ2845581

David E. Rush

Publication date: 2 September 2013

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

closure operationsintegrally closed idealsRees propertybasically full idealsm-full idealsfullcontracted ideals

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Commutative Noetherian rings and modules (13E05) Local rings and semilocal rings (13H99)

Related Items

Burch ideals and Burch rings ⋮ Integral closure, basically full closure, and duals of nonresidual closure operations

Cites Work

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• When is tight closure determined by the test ideal?
• Integrally closed and componentwise linear ideals
• Integral closedness of complete-intersection ideals
• Basically full ideals in local rings.
• Structure on the set of closure operations of a commutative ring
• Full Ideals
• m-full ideals
• The ratliff-rush ideals in a noetherian ring
• Quadratic transform of complete ideals in regular local rings
• MODULES WITH FINITE $F$-REPRESENTATION TYPE