Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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A REMARK ON IFP RINGS

  • Lee, Chang Hyeok (Department of Mathematics Pusan Science High School) ;
  • Lim, Hyo Jin (Department of Mathematics Pusan Science High School) ;
  • Park, Jae Hyoung (Department of Mathematics Pusan Science High School) ;
  • Kim, Jung Hyun (Department of Mathematics Pusan Science High School) ;
  • Kim, Jung Soo (Department of Mathematics Pusan Science High School) ;
  • Jeong, Min Joon (Department of Mathematics Pusan Science High School) ;
  • Song, Min Kyung (Department of Mathematics Pusan Science High School) ;
  • Kim, Si Hwan (Department of Mathematics Pusan Science High School) ;
  • Hwang, Su Min (Department of Mathematics Pusan Science High School) ;
  • Eom, Tae Kang (Department of Mathematics Pusan Science High School) ;
  • Lee, Min Jung (Department of Mathematics Education Pusan National University) ;
  • Lee, Yang (Department of Mathematics Education Pusan National University) ;
  • Ryu, Sung Ju (Department of Mathematics Pusan National University)
  • Received : 2013.05.28
  • Accepted : 2013.07.04
  • Published : 2013.09.30
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Abstract

We continue the study of power-Armendariz rings over IFP rings, introducing $k$-power Armendariz rings as a generalization of power-Armendariz rings. Han et al. showed that IFP rings are 1-power Armendariz. We prove that IFP rings are 2-power Armendariz. We moreover study a relationship between IFP rings and $k$-power Armendariz rings under a condition related to nilpotency of coefficients.

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References

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