Euclidean Algorithm in the Ring of Algebraic Integers Generated by the Square Root of Five
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This Demonstration shows examples of arithmetic operations in the field , the field of numbers
, where
and
are rational numbers. But instead of using the numbers 1 and
, here we use 1 and the golden ratio
.
Contributed by: Izidor Hafner (February 2020)
Open content licensed under CC BY-NC-SA
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Reference
[1] I. Vidav, Algebra, Ljubljana: Mladinska knjiga, 1972 pp. 328–330.
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