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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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Citation / Publisher Attribution
International Journal of Mathematics and Mathematical Sciences, v. 3, art. 101352
Scholar Commons Citation
Clark, W. Edwin and Liang, J. J., "On Block Irreducible Forms over Euclidean Domains" (1980). Mathematics and Statistics Faculty Publications. 68.