Geodesic
Direct decompositions and basic subgroups in commutative group rings
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 45 (2006) no. 1, pp. 53-56.

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An attractive interplay between the direct decompositions and the explicit form of basic subgroups in group rings of abelian groups over a commutative unitary ring are established. In particular, as a consequence, we give a simpler confirmation of a more general version of our recent result in this aspect published in Czechoslovak Math. J. (2006).
Classification : 16S34, 16U60, 20C07, 20K10, 20K21, 20K27
Keywords: direct decompositions; basic subgroups; normed units; group rings 
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Danchev, P. V. Direct decompositions and basic subgroups in commutative group rings. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 45 (2006) no. 1, pp. 53-56. http://geodesic.mathdoc.fr/item/AUPO_2006__45_1_a4/