A Generalization of Dedekind Criterion

DOI10.1080/00927870601168897zbMath1145.11078OpenAlexW2013907906MaRDI QIDQ3446646

Munish Kumar, Sudesh Kaur Khanduja

Publication date: 19 June 2007

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870601168897

zbMATH Keywords

factorization of prime idealsramification and extension theory

Mathematics Subject Classification ID

Polynomials (irreducibility, etc.) (11R09) Ramification and extension theory (11S15)

Related Items (16)

A Dedekind criterion over valued fields ⋮ On prime divisors of the index of an algebraic integer ⋮ On Dedekind Criterion and Simple Extensions of Valuation Rings ⋮ Integral closure of a valuation ring in a finite extension ⋮ Northcott numbers for the house and the Weil height ⋮ Characterization of primes dividing the index of a trinomial ⋮ On prolongations of valuations via Newton polygons and liftings of polynomials ⋮ On the geometric determination of extensions of non-Archimedean absolute values ⋮ On relative power integral basis of a family of numbers fields ⋮ Prolongations of valuations to finite extensions ⋮ Some results on integrally closed domains ⋮ A note on Dedekind Criterion ⋮ The monogeneity of radical extensions ⋮ Dedekind's criterion for the monogenicity of a number field versus Uchida's and Lüneburg's ⋮ On relative monogeneity of a family of number fields defined by \(X^{p^n}+aX^{p^s}-b\) ⋮ On relative pure cyclic fields with power integral bases

Cites Work

• On a theorem of Ore
• Unnamed Item

This page was built for publication: A Generalization of Dedekind Criterion