Primary decomposition. II: Primary components and linear growth

DOI10.1016/j.jpaa.2005.07.004zbMath1086.13001OpenAlexW2087445308MaRDI QIDQ814781

Yongwei Yao

Publication date: 7 February 2006

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2005.07.004

zbMATH Keywords

Torfinitely generated modulesExtprimary decompositionNoetherian ring

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Cites Work

• Unnamed Item
• 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
• Primary decomposition: Compatibility, independence and linear growth
• 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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