JP Journal of Algebra, Number Theory and Applications
Volume 37, Issue 3, Pages 261 - 280
(December 2015) http://dx.doi.org/10.17654/JPANTADec2015_261_280 |
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NI RINGS AND RELATED PROPERTIES
Hong Kee Kim, Kye Hee Park and Yang Lee
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Abstract: We study the structure of the set of nilpotent elements in NI rings and introduce weak NI as a generalization. In the procedure, we introduce the property: whenever where means the set of all nilpotent elements in a ring R. We also investigate various kinds of examples for our purpose. |
Keywords and phrases: nilpotent element, weak NI ring, NI ring, matrix ring, polynomial ring. |
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