Geodesic
Orthogonality of the Modules of Dual Groups
Matematičeskie zametki, Tome 97 (2015) no. 1, pp. 80-84

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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, $p^s$-module of a locally free group, $p$-adic module of a group.
Mots-clés : orthogonal modules, Maltsev matrix 
Yu. V. Kostromina. Orthogonality of the Modules of Dual Groups. Matematičeskie zametki, Tome 97 (2015) no. 1, pp. 80-84. http://geodesic.mathdoc.fr/item/MZM_2015_97_1_a8/
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[1] Yu. V. Kostromina, “Dvoistvennost Uorfilda i matritsy Maltseva”, Fundament. i prikl. matem., 17:8 (2012), 77–94 | MR

[2] R. B. Warfield, “Homomorphisms and duality for torsion-free groups”, Math. Z., 107 (1968), 189—200 | DOI | MR | Zbl

[3] R. Beaumont, R. Pierce, “Torsion free rings”, Illinois J. Math., 5 (1961), 61—98 | MR | Zbl

[4] V. P. Elizarov, “Sistemy lineinykh uravnenii nad konechnymi koltsami”, Tr. po diskr. matem., 6, Fizmatlit, M., 2002, 31–47

[5] Yu. V. Kostromina, “Dvoistvennost Arnolda i matritsy Maltseva”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2012, no. 2, 23–28