Аннотация:
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).
Ключевые слова и фразы:Group rings, coproducts of cyclic groups, $p^{\omega+n}$-projective, groups, criteria.