Euclidean rings of algebraic numbers and functions

DOI10.1016/0021-8693(75)90069-1zbMath0321.12001OpenAlexW1992540189MaRDI QIDQ1223443

Raj Markanda

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0021-8693(75)90069-1

zbMATH Keywords

integral domainfunction field of one variableEuclidean with respect to a multiplicative function

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Integral domains (13G05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (4)

Algebraic number fields ⋮ Products of elementary matrices and non-Euclidean principal ideal domains ⋮ Euclidean number fields of large degree ⋮ Euclidean rings of affine curves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Appendix to my paper 'On unique factorization in algebraic function fields'
• About Euclidean rings
• Euclidean algorithms and musical theory
• Euclid's algorithm in cubic fields of negative discriminant
• Euclid's Algorithm in Certain Algebraic Function Fields†
• A Note on Division Algorithms in Imaginary quadratic Number fields
• Rational Points of Abelian Varieties Over Function Fields
• On the Parity of Some Quantities Related to the Euclidean Algorithm
• Euclid's Algorithm in Algebraic Function Fields
• On the Rational Triangulation of a Circle
• On the finite generation of linear groups over Hasse domains.
• On Euclid's Algorithm in Some Quartic and Quintic Fields
• ON EUCLID'S ALGORITHM IN SOME CUBIC FIELDS WITH SIGNATURE ONE
• A Note on Quadratic Euclidean Domains
• On Euclid's Algorithm in some Cyclic Cubic Fields
• Euclidean Rings
• Euclid's algorithm in algebraic function fields, II
• Euclidean Subdomains of Algebraic Function Fields
• Euclidean subrings of global fields
• Der Euklidische Algorithmus in quadratischen Körpern.
• On the Euclidean algorithm in quadratic number fields
• Euclid's Algorithm in real Quadratic Fields
• Euclid's Algorithm in Certain Quartic Fields
• Indefinite Binary Quadratic Forms, and Euclid's Algorithm in Real Quadratic Fields
• On Euclid's Algorithm in Cyclic Fields
• Euclid's Algorithm and the Least-Remainder Algorithm
• On the Distribution of Quadratic Non-Residues and the Euclidean Algorithm in Real Quadratic Fields. I
• On the Distribution of Quadratic Non-Residues and the Eucidean Algorithm in Real Quadratic Fields. II
• On the Lack of an Euclidean Algorithm in R(√61)
• The number of steps in the Euclidean algorithm

This page was built for publication: Euclidean rings of algebraic numbers and functions