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 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
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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 |