A Survey of Certain Euclidean Number Fields

DOI10.1007/978-981-15-1514-9_5zbMath1436.11127OpenAlexW2998845589MaRDI QIDQ3298284

Muthukrishnan Subramani, Kotyada Srinivas

Publication date: 14 July 2020

Published in: Class Groups of Number Fields and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-15-1514-9_5

zbMATH Keywords

number fieldsadmissible setEuclidean ringscyclic cubic fields

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Cubic and quartic extensions (11R16) Algebraic numbers; rings of algebraic integers (11R04) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Cites Work

• On Artin's conjecture and Euclid's algorithm in global fields
• A quadratic field which is Euclidean but not norm-Euclidean
• ℤ[ is Euclidean]
• Euclidean Rings of Algebraic Integers
• A note on Euclidean cyclic cubic fields
• On Euclid's Algorithm in some Cyclic Cubic Fields
• The Euclidean algorithm
• Euclid's Algorithm in real Quadratic Fields
• On the Distribution of Quadratic Non-Residues and the Euclidean Algorithm in Real Quadratic Fields. I
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