Quasi-Complete Primary Components in Modular Abelian Group Rings over Special Rings
نویسندگان
چکیده
Let G be a multiplicatively written p-separable abelian group and R a commutative unitary ring of prime characteristic p so that Rp i has nilpotent elements for each positive integer i > 1. Then, we prove that, the normed unit p-subgroup S(RG) of the group ring RG is quasi-complete if and only if G is a bounded p-group. This strengthens our recent results in (Internat. J. Math. Analysis, 2006) and (Scientia Ser. A Math., 2006).
منابع مشابه
Torsion-Complete Primary Components in Modular Abelian Group Rings over Certain Rings
Suppose that G is an abelian p-separable group and R is a commutative unital ring of prime characteristic p. It is proved that if Rp i possesses nilpotent elements for each natural number i, then the normalized Sylow p-subgroup S(RG) in the group ring RG is torsion-complete if and only if G is p-bounded. This supplies our recent results from Acta Math. Hung. (1997), Ric. Mat. (2002), Tamkang J....
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