When is \(\mathbb{Z}[a]\) the ring of the integers?
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Publication:1239194
zbMath0358.13006MaRDI QIDQ1239194
Publication date: 1977
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
Algebraic numbers; rings of algebraic integers (11R04) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)
Related Items (13)
On prime divisors of the index of an algebraic integer ⋮ A construction of Prüfer rings involving quotients of Rees algebras ⋮ On integrally closed simple extensions of valuation rings ⋮ A dynamical characterization for monogenity at every level of some infinite -towers ⋮ Monogenity of iterates of polynomials ⋮ Generating a power basis over a Dedekind ring ⋮ The discriminant of compositum of algebraic number fields ⋮ Modules and matrices ⋮ When is R[θ integrally closed?] ⋮ Some results on integrally closed domains ⋮ On power basis of a class of algebraic number fields ⋮ The monogeneity of radical extensions ⋮ Dedekind's criterion for the monogenicity of a number field versus Uchida's and Lüneburg's
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