On the integral closures of certain ideals generated by regular sequences

DOI10.1016/S0022-4049(99)00127-9zbMath0959.13005OpenAlexW2087738214MaRDI QIDQ1582750

Kohji Nishida

Publication date: 23 April 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(99)00127-9

zbMATH Keywords

Cohen-Macaulay ringformal power series ringintegral closureregular sequencesRees algebras

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Integral closure of commutative rings and ideals (13B22) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Cites Work

• Hilbert functions and symbolic powers
• Generators and relations of abelian semigroups and semigroup rings
• Self-linked curve singularities
• Non-Cohen-Macaulay Symbolic Blow-Ups for Space Monomial Curves and Counterexamples to Cowsik's Question
• Symbolic algebras of monomial primes.
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