A WEAK PERIODICITY CONDITION FOR RINGS

A WEAK PERIODICITY CONDITION FOR RINGS

A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson radical can be written as the sum of a potent element and a nilpotent element. After discussing some basic properties of such rings, we investigate their commutativity behavior.

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Veröffentlicht in:International Journal of Mathematics and Mathematical Sciences 2005-01, Vol.2005 (9), p.1387-1391-105
Hauptverfasser: Abu-Khuzam, Hazar, Bell, Howard E., Yaqub, Adil
Format: Artikel
Sprache:eng
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Zusammenfassung:A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson radical can be written as the sum of a potent element and a nilpotent element. After discussing some basic properties of such rings, we investigate their commutativity behavior.
ISSN:0161-1712
1687-0425
DOI:10.1155/IJMMS.2005.1387