Article contents
A Note on Division Algorithms in Imaginary quadratic Number fields
Published online by Cambridge University Press: 20 November 2018
Extract
An integral domain E is said to be Euclidean if there exists a non-negative, integer-valued function g denned on the non-zero elements of E such that for every non-zero x and y in E,
(1) g(xy) ⩾ g(x);
(2) (division algorithm) if x does not divide y then there exists an element q in E, depending on x and y, with .
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1958
References
- 3
- Cited by