Spectral Spaces Versus Distributive Lattices: A Dictionary

DOI10.1007/978-3-030-43416-8_13zbMath1440.03060arXiv1812.06277OpenAlexW3094403604MaRDI QIDQ5119701

Henri Lombardi

Publication date: 1 September 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.06277

zbMATH Keywords

real spectrumconstructive mathematicsdistributive latticeKrull dimensionspectral spacegoing downZariski spectrumlying overgoing upvaluative spectrumZariski lattice

Mathematics Subject Classification ID

Integral dependence in commutative rings; going up, going down (13B21) Other constructive mathematics (03F65) Schemes and morphisms (14A15) Distributive lattices (06D99)

Related Items (2)

Valuative Lattices and Spectra ⋮ Valuative dimension, constructive points of view

Cites Work

• Generating non-Noetherian modules constructively
• Generating non-Noetherian modules efficiently
• A course in constructive algebra
• Krull dimension, Nullstellensätze and dynamical evaluation
• Dynamical algebraic structures, pointfree topological spaces and Hilbert's program. (Structures algébriques dynamiques, espaces topologiques sans points et programme de Hilbert)
• A logical approach to abstract algebra
• Dimension de Heitmann des treillis distributifs et des anneaux commutatifs
• Hidden constructions in abstract algebra. Krull Dimension of distributive lattices and commutative rings
• Automating Coherent Logic
• Prime Ideal Structure in Commutative Rings
• Algebraische und logistische Untersuchungen über freie Verbände
• Dynamical method in algebra: Effective Nullstellensätze
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