Korean J. Math. Vol. 23 No. 3 (2015) pp.337-355
DOI: https://doi.org/10.11568/kjm.2015.23.3.337

On a ring property generalizing power-Armendariz and central Armendariz rings

Main Article Content

Ho Jun Cha
Da Woon Jung
Hong Kee Kim
Jin-A Kim
Chang Ik Lee
Yang Lee
Sang Bok Nam
Sung Ju Ryu
Yeonsook Seo
Hyo Jin Sung
Sang Jo Yun

Abstract

We in this note consider a class of rings which is related to both power-Armendariz and central Armendariz rings, in the spirit of Armendariz and Kaplansky. We introduce central power-Armendariz as a generalization of them, and study the structure of central products of coefficients of zero-dividing polynomials. We also observe various sorts of examples to illuminate the relations between central power-Armendariz and related ring properties.


Article Details

Supporting Agencies

This work was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF- 2013R1A1A2A10004687).

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