Journal of Mathematical Sciences

, Volume 154, Issue 3, pp 430–445 | Cite as

A category of matrices representing two categories of Abelian groups

Article

Abstract

Every τ-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.

Keywords

Abelian Group Exact Sequence Cyclic Subgroup Great Common Divisor Elementary Operation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  1. 1.Moscow Pedagogical State UniversityMoscowRussia

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