On the Frobenius Power and Colon Ideals

DOI10.1080/00927870802216438zbMath1185.13011arXiv0709.0943OpenAlexW2011094239MaRDI QIDQ3395202

Wenliang Zhang

Publication date: 24 August 2009

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

Full work available at URL: https://arxiv.org/abs/0709.0943

zbMATH Keywords

UFDregular ringscolon idealsFrobenius power

Mathematics Subject Classification ID

Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (1)

Regularity and intersections of bracket powers

Cites Work

• The Hilbert-Kunz function
• Unmixed local rings with minimal Hilbert-Kunz multiplicity are regular
• Characterizations of Regular Local Rings of Characteristic p
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