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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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
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container_issue 3
container_start_page 311
container_title Korean Journal of mathematics
container_volume 21
creator 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
description 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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title A REMARK ON IFP RINGS
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