Generalized periodic and generalized Boolean rings

Generalized periodic and generalized Boolean rings

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, o...

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Veröffentlicht in:International journal of mathematics and mathematical sciences 2001-01, Vol.26 (8), p.457-465
Hauptverfasser: Bell, Howard E, Yaqub, Adil
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171201005713