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Miklos Schweitzer 1974_4

Source:

November 12, 2008
Ring Theoryfunctioninductionnumber theoryprime numberssuperior algebrasuperior algebra unsolved

Problem Statement

Let R R be an infinite ring such that every subring of R R different from {0} \{0 \} has a finite index in R R. (By the index of a subring, we mean the index of its additive group in the additive group of R R.) Prove that the additive group of R R is cyclic. L. Lovasz, J. Pelikan
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