Stability of associated primes and equality of ordinary and symbolic powers of ideals

DOI10.1080/00927879908826624zbMath0963.13002OpenAlexW2113758617MaRDI QIDQ4253126

Susan Morey

Publication date: 28 June 2001

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

Full work available at URL: https://doi.org/10.1080/00927879908826624

zbMATH Keywords

number of generatorsassociated primes\(d\)-sequenceCohen-MacaulayGorensteinindex of stabilityGorenstein local ringsymbolic power of ideallocal Noetherian domain

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative Noetherian rings and modules (13E05) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Related Items

Embedded associated primes of powers of square-free monomial ideals, On the equality of ordinary and symbolic powers of ideals, Comparison of symbolic and ordinary powers of parity binomial edge ideals, Symbolic powers of codimension two Cohen-Macaulay ideals, The stable set of associated primes of the ideal of a graph, Fat lines in \(\mathbb P^3\): powers versus symbolic powers, The resurgence of ideals of points and the containment problem, An effective avoidance principle for a class of ideals

Cites Work

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• The Koszul homology of an ideal
• The Koszul algebra of a codimension 2 embedding
• Symbolic powers, Serre conditions and Cohen-Macaulay Rees algebras
• The theory of d-sequences and powers of ideals
• Equations of blowups of ideals of codimension two and three
• Criteria for equality of ordinary and symbolic powers of primes
• The Syzygies of the Conormal Module
• Powers of Ideals Having Small Analytic Deviation