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Keywords:
direct decompositions; basic subgroups; normed units; group rings
direct decompositions; basic subgroups; normed units; group rings
Summary:
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).
References:
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