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A remark on the ring of algebraic integers in \(\mathbb{Q}(\sqrt {- d})\)

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Publication:503257
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DOI10.1007/s11856-016-1421-7zbMath1365.11118OpenAlexW2530285660MaRDI QIDQ503257

Ming-Guang Leu, Wen-Yao Chang, Chih-Ren Cheng

Publication date: 11 January 2017

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-016-1421-7


zbMATH Keywords

quadratic fields\(GE_2\)-ringsEuclidean domainsquasi-Euclidean domains


Mathematics Subject Classification ID

Quadratic extensions (11R11) Algebraic numbers; rings of algebraic integers (11R04) Euclidean rings and generalizations (13F07)




Cites Work

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  • The 2-stage Euclidean algorithm and the restricted Nagata's pairwise algorithm
  • Euklidischer Algorithmus und die Gruppe \(GL_2\)
  • On a proposition of Samuel and 2-stage Euclidean algorithm in global fields
  • On the structure of the \(GL_ 2\) of a ring
  • Quasi-Euclidean subrings of ℚ[x]
  • A weakening of the euclidean property for integral domains and applications to algebraic number theory. I.
  • ℤ[ is Euclidean]
  • Euclidean Rings of Algebraic Integers
  • On the finite generation of linear groups over Hasse domains.
  • The Euclidean algorithm
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