INTEGRAL AND COMPLETE INTEGRAL CLOSURES OF IDEALS IN INTEGRAL DOMAINS

DOI10.1142/S0219498811004884zbMath1237.13012MaRDI QIDQ3117893

Abdeslam Mimouni

Publication date: 1 March 2012

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

zbMATH Keywords

pullbacksintegral closurecomplete idealcomplete integral closure

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Cites Work

• Unnamed Item
• Conducive integral domains
• Integral closedness of complete-intersection ideals
• Integral closures of ideals generated by regular sequences
• Topologically defined classes of commutative rings
• On the integral closure of ideals
• Derivations and the integral closure of ideals
• F-rational rings and the integral closures of ideals

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