A Short Proof for the Krull Dimension of a Polynomial Ring

DOI10.2307/30037606zbMath1105.13301OpenAlexW4253824922MaRDI QIDQ3412193

Henri Lombardi, Thierry Coquand

Publication date: 5 December 2006

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/30037606

Mathematics Subject Classification ID

Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (5)

Spectral schemes as ringed lattices ⋮ Krull dimension and monomial orders ⋮ CONSTRUCTIVE KRULL DIMENSION I: INTEGRAL EXTENSIONS ⋮ Dynamical algebraic structures, pointfree topological spaces and Hilbert's program. (Structures algébriques dynamiques, espaces topologiques sans points et programme de Hilbert) ⋮ The Ring of Real-Valued Multivariate Polynomials: An Analyst’s Perspective

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