Euclidean Rings of Algebraic Integers

By Malcolm Harper, M. Ram Murty. Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2004

52 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Mathematical Physics, Theoretical Computer Science

View Paper: https://www.semanticscholar.org/paper/851ebe44c506dd8461487e20bf3080e885dc9671

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In Algebra and Number Theory

1. Franz Lemmermeyer

In Mathematical Physics

1. Franz Lemmermeyer

In Theoretical Computer Science

1. Franz Lemmermeyer

Citations in the corpus

• THE EUCLIDEAN ALGORITHM IN ALGEBRAIC NUMBER FIELDS (2004, background): “Harper & Murty [91] proved that if K is a finite Galois extension of Q with unit rank > 3, then OK is Euclidean if and only if it is a principal ideal domain; if K is abelian, unit rank ≥ 3 is sufficient.”