On integrally closed simple extensions of valuation rings

DOI10.1016/j.jpaa.2017.05.012zbMath1403.12004OpenAlexW2615517784MaRDI QIDQ1678277

Anuj Jakhar, Neeraj Sangwan, Sudesh Kaur Khanduja

Publication date: 14 November 2017

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2017.05.012

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Non-Archimedean valued fields (12J25) Valued fields (12J10)

Related Items (3)

On the compositum of integral closures of valuation rings ⋮ Some results on integrally closed domains ⋮ A note on Dedekind Criterion

Cites Work

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• On prime divisors of the index of an algebraic integer
• Generating a power basis over a Dedekind ring
• Factorization of polynomials over finite fields
• When is \(\mathbb{Z}[a\) the ring of the integers?]
• A Dedekind criterion for arbitrary valuation rings
• When is R[θ integrally closed?]
• On power basis of a class of algebraic number fields
• On Dedekind Criterion and Simple Extensions of Valuation Rings
• Valued Fields
• Number fields

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