Ideal structure of rings of analytic functions with non-Archimedean metrics

DOI10.1142/S0219498823500111zbMath1497.13010OpenAlexW3205592617MaRDI QIDQ5046117

Nicholas Bruno

Publication date: 27 October 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823500111

zbMATH Keywords

generatorspower seriesmaximal idealentire functionsprime idealKrull dimensionLaurent seriesultrafilter\(p\)-adicultrametricBézoutnon-Archimedeandealsmultiplicative ideal

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Non-Archimedean function theory (30G06) Non-Archimedean valued fields (12J25) Valued fields (12J10)

Cites Work

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• Survey on Bezout rings of \(p\)-adic analytic functions
• Constructing chains of primes in power series rings
• Divisibility properties of integral functions
• On the ideal structure of the ring of entire functions
• On the prime ideals of the ring of entire functions
• Maximal fields with valuations

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