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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2010 Volume 375, Pages 195–202 (Mi znsl3614)

This article is cited in 5 papers

Duality of the categories of torsion free abelian groups of finite rank and quotient divisible groups

A. V. Yakovlev

Saint-Petersburg State University, Saint-Petersburg, Russia

Abstract: We propose a new approach to the description of quotient divisible groups. This approach allows to give an explicit and natural proof of the duality of the categories of torsion free abelian groups of finite rank and quotient divisible groups with marked basic subgroups. Bibl. – 3 titles.

Key words and phrases: abelian groups, categories, duality.

UDC: 512.54

Received: 15.04.2010


 English version:
Journal of Mathematical Sciences (New York), 2010, 171:3, 416–420

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© Steklov Math. Inst. of RAS, 2024