The upper bound of Frobenius related length functions

DOI10.1016/J.JALGEBRA.2004.11.015zbMath1091.13015arXivmath/0501209OpenAlexW2005630612MaRDI QIDQ1772452

Jinjia Li

Publication date: 18 April 2005

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

Full work available at URL: https://arxiv.org/abs/math/0501209

zbMATH Keywords

characteristic \(p\)Frobenius maplengthintersection multiplicityhomology of complexesDutta multiplicitycomplete local Cohen-Macaulay ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Homological conjectures (intersection theorems) in commutative ring theory (13D22)

Related Items (1)

Asymptotic behavior of the socle of Frobenius powers

Cites Work

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• Frobenius and multiplicities
• Complexes with homology of finite length and Frobenius functors
• Ext and Frobenius. II
• Intersection multiplicity of modules in the positive characteristics
• A Special Case of Positivity
• Characterizations of Regular Local Rings of Characteristic p

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