Some conditions for finiteness of a ring

Howard E. Bell

International Journal of Mathematics and Mathematical Sciences, 1988, vol. 11, 1-4

Abstract:

Extending a result of Putcha and Yaqub, we prove that a non-nil ring must be finite if it has both ascending chain condition and descending chain condition on non-nil subrings. We also prove that a periodic ring with only finitely many non-central zero divisors must be either finite or commutative.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:697351

DOI: 10.1155/S0161171288000286

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