I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2000, VOLUME 6, NUMBER 2, PAGES 319-356
B. G. Averbuh
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The purpose of the paper is a formalization and a study of the indicated notion. Conceptually a number system in a given group must associate with each element a word (maybe infinite) in certain alphabet. Algebraic and topological structures on the group must be characterized only by means of this correspondence. The main notions are defined by analogy with the case of real numbers.
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Last modified: September 1, 2000