On Commutativity of Semiperiodic Rings

. Let R be a ring with center Z , Jacobson radical J , and set N of all nilpotent elements. Call R semiperiodic if for each , there exist positive integers m , n of opposite parity such that . We investigate commutativity of semiperiodic rings, and we provide noncommutative examples.

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Veröffentlicht in:Resultate der Mathematik 2009-02, Vol.53 (1-2), p.19-26
Hauptverfasser: Bell, Howard E., Yaqub, Adil
Format: Artikel
Sprache:eng
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Zusammenfassung:. Let R be a ring with center Z , Jacobson radical J , and set N of all nilpotent elements. Call R semiperiodic if for each , there exist positive integers m , n of opposite parity such that . We investigate commutativity of semiperiodic rings, and we provide noncommutative examples.
ISSN:1422-6383
1420-9012
DOI:10.1007/s00025-008-0305-5