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Commun. Korean Math. Soc. 2018; 33(3): 741-750
Online first article March 2, 2018 Printed July 31, 2018
https://doi.org/10.4134/CKMS.c170285
Copyright © The Korean Mathematical Society.
A generalization of Armendariz and NI properties
Dan Li, Zhelin Piao, Sang Jo Yun
Pusan National University, Pusan National University, Dong-A University
Antoine showed that the properties of Armendariz and NI are independent of each other. The study of Armendariz and NI rings has been doing important roles in the research of zero-divisors in noncommutative ring theory. In this article we concern a new class of rings which generalizes both Armendariz and NI rings. The structure of such sort of ring is investigated in relation with near concepts and ordinary ring extensions. Necessary examples are examined in the procedure.
Keywords: IPN ring, NI ring, Armendariz ring, polynomial ring, matrix ring, Abelian ring
MSC numbers: 16N40, 16S36, 16U80, 16D25
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