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

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Published: Sep 30, 2015
Keywords:
central power-Armendariz ring, Armendariz ring, central products of coefficients, K-ring.
Mathematics Subject Classification:
16N40, 16S36.

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Ho Jun Cha
Department of Mathematics Pusan National University Pusan 609-735, Korea
Da Woon Jung
Department of Mathematics Pusan National University Pusan 609-735, Korea
Hong Kee Kim
Department of Mathematics and RINS Gyeongsang National University Jinju 660-701, Korea
Jin-A Kim
Department of Mathematics Pusan National University Pusan 609-735, Korea
Chang Ik Lee
Department of Mathematics Pusan National University Pusan 609-735, Korea
Yang Lee
Department of Mathematics Pusan National University Pusan 609-735, Korea
Sang Bok Nam
Department of Early Child Education Kyungdong University Kosung 219-830, Korea
Sung Ju Ryu
Department of Mathematic Pusan National University Pusan 609-735, Korea
Yeonsook Seo
Department of Mathematic Pusan National University Pusan 609-735, Korea
Hyo Jin Sung
Department of Mathematic Pusan National University Pusan 609-735, Korea
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.


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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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