Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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ON A RING PROPERTY GENERALIZING POWER-ARMENDARIZ AND CENTRAL ARMENDARIZ RINGS

  • CHA, HO JUN (Department of Mathematics Pusan National University) ;
  • JUNG, DA WOON (Department of Mathematics Pusan National University) ;
  • KIM, HONG KEE (Department of Mathematics and RINS Gyeongsang National University) ;
  • KIM, JIN-A (Department of Mathematics Pusan National University) ;
  • LEE, CHANG IK (Department of Mathematics Pusan National University) ;
  • LEE, YANG (Department of Mathematics Pusan National University) ;
  • NAM, SANG BOK (Department of Early Child Education Kyungdong University) ;
  • RYU, SUNG JU (Department of Mathematics Pusan National University) ;
  • SEO, YEONSOOK (Department of Mathematics Pusan National University) ;
  • SUNG, HYO JIN (Department of Mathematics Pusan National University) ;
  • YUN, SANG JO (Department of Mathematics Pusan National University)
  • Received : 2015.03.23
  • Accepted : 2015.08.24
  • Published : 2015.09.30
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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.

Keywords

Acknowledgement

Supported by : National Research Foundation of Korea (NRF)

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