LINEAR GROWTH OF PRIMARY DECOMPOSITIONS OF MODULES AND INTEGRAL CLOSURES

DOI10.1081/AGB-120013341zbMath1076.13502OpenAlexW1980054796MaRDI QIDQ4792655

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Publication date: 20 March 2003

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

Full work available at URL: https://doi.org/10.1081/agb-120013341

zbMATH Keywords

finitely generated modulesprimary decompositionsNoetherian ringintegral closures

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15)

Cites Work

• Uniform bounds in noetherian rings
• Linear growth of primary decompositions of integral closures
• Powers of ideals. Primary decompositions, Artin-Rees lemma and regularity
• Integral Closures of Ideals Relative to Local Cohomology Modules Over Quasi-Unmixed Local Rings
• Injective modules and linear growth of primary decompositions
• Unnamed Item

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