Department of Mathematics Education
Pusan National University
Yang Lee
Department of Mathematics Education
Pusan National University
Sung Ju Ryu
Department of Mathematics
Pusan National University
Abstract
We continue the study of power-Armendariz rings over IFP rings, introducing -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 -power Armendariz rings under a condition related to nilpotency of coefficients.