FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 1, PAGES 281-284

The properties of the $t$-adic integers

L. B. Luchishina

Abstract

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In the article we introduce the $t$-adic algebra depending on certain $f$-type, generalizing usual Baer type for groups of rank $1$. We consider the characteristics of invariants of the constructed algebra ($f$-characteristics) and study some characteristics of the divisibility relations of the $t$-adic integers.

All articles are published in Russian.

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Last modified: May 10, 2001