Linear growth of primary decompositions of integral closures

DOI10.1006/jabr.1998.7436zbMath0932.13003OpenAlexW2046727517MaRDI QIDQ1270110

Rodney Y. Sharp

Publication date: 13 December 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7436

zbMATH Keywords

Rees algebraprimary decompositionNagata ringnoetherian ringintegral closures of ideals

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Ideals and multiplicative ideal theory in commutative rings (13A15) Arithmetic rings and other special commutative rings (13F99)

Related Items (8)

LINEAR GROWTH OF PRIMARY DECOMPOSITIONS OF MODULES AND INTEGRAL CLOSURES ⋮ On the equivalence of the integral symbolic and adic topologies ⋮ Adjunction ofpth Roots to Dedekind Domains and Injective Modules ⋮ Asymptotic behavior of integral closures, quintasymptotic primes and ideal topologies ⋮ WeaklyG_K-Perfect and Integral Closure of Ideals ⋮ Asymptotic behaviour of monomial ideals on regular sequences ⋮ Primary decomposition: Compatibility, independence and linear growth ⋮ Primary decomposition. II: Primary components and linear growth

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