W. Edwin Clark, J. J. Liang, "On block irreducible forms over Euclidean domains", International Journal of Mathematics and Mathematical Sciences, vol. 3, Article ID 101352, 14 pages, 1980. https://doi.org/10.1155/S0161171280000026
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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