FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 3, PAGES 223-244

A category of matrices representing two categories of Abelian groups

A. A. Fomin

Abstract

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Every t-adic matrix represents both a quotient divisible group and a torsion free finite-rank group. These representations are an equivalence and a duality of categories, respectively.

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Last modified: June 19, 2007