• Title/Summary/Keyword: central power-Armendariz ring

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ON A RING PROPERTY GENERALIZING POWER-ARMENDARIZ AND CENTRAL ARMENDARIZ RINGS

  • CHA, HO JUN;JUNG, DA WOON;KIM, HONG KEE;KIM, JIN-A;LEE, CHANG IK;LEE, YANG;NAM, SANG BOK;RYU, SUNG JU;SEO, YEONSOOK;SUNG, HYO JIN;YUN, SANG JO
    • Korean Journal of Mathematics
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    • v.23 no.3
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    • pp.337-355
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    • 2015
  • 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.