Bounds on annihilator lengths in families of quotients of Noetherian rings

DOI10.1006/JABR.2000.8317zbMath1080.13505OpenAlexW2042625495MaRDI QIDQ1570377

C. A. Yackel

Publication date: 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8317

zbMATH Keywords

characteristic \(p\)tight closurelocal ringHilbert-Kunz functionannihilator length function

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Commutative Noetherian rings and modules (13E05) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Local rings and semilocal rings (13H99)

Related Items (1)

Asymptotic behavior of the socle of Frobenius powers

Cites Work

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• Some surprising Hilbert-Kunz functions
• The Hilbert-Kunz function
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• F-Regularity, Test Elements, and Smooth Base Change
• Characterizations of Regular Local Rings of Characteristic p
• On the Structure and Ideal Theory of Complete Local Rings

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