Abstract:
We consider associative torsion-free rings of finite rank whose $p$-ranks do not exceed 1. For these rings, certain analogues of Wedderburn's theorem on finite-dimensional algebras are found.
Bibliography: 11 titles.
Keywords:associative ring, mixed Abelian group, ring of polyadic numbers, quotient-divisible group, $p$-rank, $E$-ring.
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