Generalized periodic and generalized Boolean rings

Howard E. Bell and Adil Yaqub

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 26, 1-9

Abstract:

We prove that a generalized periodic, as well as a generalized Boolean, ring is either commutative or periodic. We also prove that a generalized Boolean ring with central idempotents must be nil or commutative. We further consider conditions which imply the commutativity of a generalized periodic, or a generalized Boolean, ring.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:839513

DOI: 10.1155/S0161171201005713

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