Geodesic
Rings whose $p$-ranks do not exceed~1
Sbornik. Mathematics, Tome 205 (2014) no. 4, pp. 476-487

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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, $p$-rank, $E$-ring.
Mots-clés : quotient-divisible group 
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O. Guseva; A. V. Tsarev. Rings whose $p$-ranks do not exceed~1. Sbornik. Mathematics, Tome 205 (2014) no. 4, pp. 476-487. http://geodesic.mathdoc.fr/item/SM_2014_205_4_a1/