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Commun. Korean Math. Soc. 2017; 32(3): 503-509
Online first article April 4, 2017 Printed July 31, 2017
https://doi.org/10.4134/CKMS.c160154
Copyright © The Korean Mathematical Society.
On weakly left quasi-commutative rings
Dong Hwa Kim, Zhelin Piao, and Sang Jo Yun
Pusan National University, Pusan National University, Dong-A University
We in this note consider a generalized ring theoretic property of quasi-commutative rings in relation with powers. We will use the terminology of {\it weakly left quasi-commutative} for the class of rings satisfying such property. The properties and examples are basically investigated in the procedure of studying idempotents and nilpotent elements.
Keywords: weakly left quasi-commutative ring, polynomial ring, matrix ring, idempotent, nilpotent element
MSC numbers: 16D25, 16U70, 16S36
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