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).
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 
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/
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