The restricted Nagata's pairwise algorithm and the Euclidean algorithm

zbMath1152.13016MaRDI QIDQ953942

Ming-Guang Leu

Publication date: 7 November 2008

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

Full work available at URL: https://projecteuclid.org/euclid.ojm/1221656654

zbMATH Keywords

Euclidean algorithm

Mathematics Subject Classification ID

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

Related Items (3)

The 2-stage Euclidean algorithm and the restricted Nagata's pairwise algorithm ⋮ Products of elementary matrices and non-Euclidean principal ideal domains ⋮ On a proposition of Samuel and 2-stage Euclidean algorithm in global fields

Cites Work

• On Nagata's pairwise algorithm
• About Euclidean rings
• A weakening of the euclidean property for integral domains and applications to algebraic number theory. I.
• ℤ[ is Euclidean]
• The Euclidean algorithm
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