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15 صفحه اولRemarks about Euclidean Domains
We will call (1) the d-inequality. Sometimes it is expressed in a different way: for nonzero a and b, if a|b then d(a) ≤ d(b). This is equivalent to the d-inequality, taking into account of course the different roles of a and b in the two descriptions. Examples of Euclidean domains are Z (with d(n) = |n|), F [T ] for any field F (with d(f) = deg f ; this example is the reason that one doesn’t a...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1984
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.526498