On periodic rings

Xiankun Du and Qi Yi

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 25, 1-4

Abstract:

It is proved that a ring is periodic if and only if, for any elements x and y , there exist positive integers k , l , m , and n with either k ≠ m or l ≠ n , depending on x and y , for which x k y l = x m y n . Necessary and sufficient conditions are established for a ring to be a direct sum of a nil ring and a J -ring.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:949705

DOI: 10.1155/S0161171201001181

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