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Matematicheskie Zametki, 2015, Volume 97, Issue 1, Pages 80–84
DOI: https://doi.org/10.4213/mzm10355 (Mi mzm10355) 		 
Orthogonality of the Modules of Dual Groups

Yu. V. Kostromina

Moscow State Pedagogical University
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DOI: https://doi.org/10.4213/mzm10355
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.
Keywords: Warfield duality, Arnold duality, orthogonal modules, Maltsev matrix, $p^s$-module of a locally free group, $p$-adic module of a group.
Received: 11.07.2013
Revised: 14.01.2014
English version:
Mathematical Notes, 2015, Volume 97, Issue 1, Pages 69–72
DOI: https://doi.org/10.1134/S0001434615010095
Bibliographic databases:
Document Type: Article
UDC: 512.541
Language: Russian
Citation: Yu. V. Kostromina, “Orthogonality of the Modules of Dual Groups”, Mat. Zametki, 97:1 (2015), 80–84; Math. Notes, 97:1 (2015), 69–72
Citation in format AMSBIB
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