Abstract
Warfield duality for locally free groups and Arnold duality for quotient divisible groups are studied. It is shown that the modules of Warfield dual groups are orthogonal and the modules of Arnold dual groups are orthogonal.
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Original Russian Text © Yu. V. Kostromina, 2015, published in Matematicheskie Zametki, 2015, Vol. 97, No. 1, pp. 80–84.
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Kostromina, Y.V. Orthogonality of the modules of dual groups. Math Notes 97, 69–72 (2015). https://doi.org/10.1134/S0001434615010095
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DOI: https://doi.org/10.1134/S0001434615010095