Primary decomposition: Compatibility, independence and linear growth

DOI10.1090/S0002-9939-01-06284-0zbMath0986.13001arXivmath/0209257MaRDI QIDQ2781331

Yongwei Yao

Publication date: 19 March 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0209257

zbMATH Keywords

finitely generated moduleslinear growthprimary decompositionNoetherian ringArtin-Rees number

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Related Items (8)

Primary Decompositions ⋮ Noether normalizations, reductions of ideals, and matroids ⋮ Subexponential-time computation of isolated primary components of a polynomial ideal ⋮ Growth of primary decompositions of Frobenius powers of ideals ⋮ Tensor-multinomial sums of ideals: Primary decompositions and persistence of associated primes ⋮ Binomial Canonical Decompositions of Binomial Ideals ⋮ On the index of reducibility in Noetherian modules ⋮ Primary decomposition. II: Primary components and linear growth

Cites Work

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• On asymptotic prime divisors
• Uniform bounds in noetherian rings
• Linear growth of primary decompositions of integral closures
• On the embedded primary components of ideals. I
• Powers of ideals. Primary decompositions, Artin-Rees lemma and regularity
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• Primes Associated to an Ideal
• Asymptotic Stability of Ass(M/I n M)
• Injective modules and linear growth of primary decompositions

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