A REMARK ON IFP RINGS

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...

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Bibliographic Details
Published in:Korean Journal of mathematics 2013, Vol.21 (3), p.311-318
Main Authors: Lee, Chang Hyeok, Lim, Hyo Jin, Park, Jae Hyoung, Kim, Jung Hyun, Kim, Jung Soo, Jeong, Min Joon, Song, Min Kyung, Kim, Si Hwan, Hwang, Su Min, Eom, Tae Kang, Lee, Min Jung, Lee, Yang, Ryu, Sung Ju
Format: Article
Language:Korean
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Summary: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.
ISSN:1976-8605
2288-1433