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.

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Bibliographic Details
Published in:International Journal of Mathematics and Mathematical Sciences 1980, Vol.1980 (1), p.15-28
Main Authors: Clark, W. Edwin, Liang, J. J.
Format: Article
Language:English
Subjects:
arithmetical coding
canonical forms
Euclidean domains
Online Access:Get full text
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Description
Summary: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.
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171280000026