A weak periodicity condition for rings
Author(s) -
Hazar Abu-Khuzam,
Howard E. Bell,
Adil Yaqub
Publication year - 2005
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/ijmms.2005.1387
Subject(s) - mathematics , element (criminal law) , nilpotent , commutative property , jacobson radical , ring (chemistry) , pure mathematics , center (category theory) , algebra over a field , discrete mathematics , law , crystallography , chemistry , organic chemistry , political science
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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