This article is cited in 2 papers

On the coproducts of cyclics in commutative modular and semisimple group rings

Peter Danchev

Plovdiv, Bulgaria

Abstract: We study certain properties of the coproducts (= direct sums) of cyclic groups in commutative modular and semisimple group rings. Our results strengthen a statement due to T. Zh. Mollov (Pliska, Stud. Math. Bulgar., 1981) and also they may be interpreted as a natural continuation of a recent investigation of ours (Serdica Math. J., 2003).

Keywords and phrases: Group rings, coproducts of cyclic groups, $p^{\omega+n}$-projective, groups, criteria.

MSC: 16U60, 16S34, 20K10, 20K20, 20K21

Received: 21.07.2005

Language: English

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