Duality of the categories of torsion free abelian groups of finite rank and quotient divisible groups
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 19, Tome 375 (2010), pp. 195-202
A. V. Yakovlev. Duality of the categories of torsion free abelian groups of finite rank and quotient divisible groups. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 19, Tome 375 (2010), pp. 195-202. http://geodesic.mathdoc.fr/item/ZNSL_2010_375_a10/
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     title = {Duality of the categories of torsion free abelian groups of finite rank and quotient divisible groups},
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     year = {2010},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_375_a10/}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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.

[1] A. A. Fomin, W. Wickless,, “Quotient divisible abelian groups”, Proc. Amer. Math. Soc., 126:1 (1998), 45–52 | DOI | MR | Zbl

[2] A. A. Fomin, “Invariants for abelian groups and dual exact sequences”, Journal of Algebra, 323 (2009), 2544–2565 | DOI | MR

[3] A. V. Yakovlev, “K probleme klassifikatsii abelevykh grupp bez krucheniya konechnogo ranga”, Zap. nauchn. semin. LOMI, 57, 1976, 171–175 | MR | Zbl