Coherent functors and asymptotic stability

DOI10.1016/j.jalgebra.2018.11.035zbMath1409.13005OpenAlexW2905170280MaRDI QIDQ1712467

Adson Banda, Leif Melkersson

Publication date: 22 January 2019

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2018.11.035

zbMATH Keywords

Hilbert polynomialBetti numberBass numbercoherent functorasymptotic prime ideal

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Ideals and multiplicative ideal theory in commutative rings (13A15)

Cites Work

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• An introduction to homological algebra
• Coherent functors
• Modules cofinite with respect to an ideal
• Covariant functors and asymptotic stability
• On asymptotic stability for sets of prime ideals connected with the powers of an ideal
• Asymptotic Behaviour of Certain Sets of Attached Prime Ideals
• Asymptotic Prime Ideals Related to Derived Functors
• Asymptotic Stability of Ass(M/I n M)
• The asymptotic nature of the analytic spread
• Homological Invariants of Powers of an Ideal
• ARTINIAN MODULES AND HILBERT POLYNOMIALS
• On prime divisors of \(I^n\), \(n\) large

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