Purity of monoids and characteristic-free splittings in semigroup rings

DOI10.1007/s00209-023-03358-8zbMath1526.20083arXiv2210.03358MaRDI QIDQ6090611

Alessandro De Stefani, Luis Núñez-Betancourt, Jonathan Montaño

Publication date: 17 November 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.03358

zbMATH Keywords

monoidsnumerical invariantsseminormalitypure maps

Mathematics Subject Classification ID

Semigroup rings, multiplicative semigroups of rings (20M25) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Algebraic monoids (20M32)

Cites Work

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• \(F\)-signature exists
• Injective modules over Noetherian rings
• On seminormal monoid rings
• Tight closure and linkage classes in Gorenstein rings
• The F-signature of an affine semigroup ring
• Divisorial linear algebra of normal semigroup rings
• Two theorems about maximal Cohen-Macaulay modules
• On F-pure thresholds
• The structure of \(F\)-pure rings
• On the ubiquity of Gorenstein rings
• F-THRESHOLDS OF GRADED RINGS
• Polytopes, Rings, and K-Theory
• F-Purity and Rational Singularity
• Simplicity of Rings of Differential Operators in Prime Characteristic
• Affine semigroup rings are of finite F-representation type
• A Gorenstein Criterion for StronglyF-Regular and Log Terminal Singularities
• Cohomologically Full Rings
• F-Thresholds versusa-Invariants for Standard Graded Toric Rings
• Characterizations of Regular Local Rings of Characteristic p
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes

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