On block irreducible forms over Euclidean domains

In this paper a general canonical form for elements in a ring Euclidean with respect to a real valuation is established. It is also shown that this form is unique and minimal thus gives the arithmetical weight of an element with respect to a radix.

Bibliographic Details
Main Authors: W. Edwin Clark, J. J. Liang
Format: Article
Language:English
Published: Hindawi Limited 1980-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171280000026