Torsion completeness of p-primary components in modular group rings of p-reduced Abelian groups |
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Authors: | Peter Danchev |
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Affiliation: | 1.Plovdiv,Bulgaria |
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Abstract: | Let G be a p-reduced Abelian group and R a commutative unital ring of prime characteristic p such that for each natural number i the subring $
R^{p^i }
$
R^{p^i }
has nilpotent elements. It is shown that if S(RG) is the normalized Sylow p-group in the group ring RG, then S(RG) is torsion-complete if and only if G is a bounded p-group. This strengthens our former results on this subject. |
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Keywords: | |
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