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 On $Pi$-Armendariz rings Bull. Korean Math. Soc. 2007 Vol. 44, No. 4, 641-649 Published online December 1, 2007 Chan Huh, Chang Ik Lee, Kwang Sug Park, and Sung Ju Ryu Busan National University, Busan National University, Busan National University, Busan National University Abstract : We in this note introduce a concept, so called {\it $\pi$-Armendariz ring}, that is a generalization of both Armendariz rings and 2-primal rings. We first observe the basic properties of $\pi$-Armendariz rings, constructing typical examples. We next extend the class of $\pi$-Armendariz rings, through various ring extensions. Keywords : $\pi$-Armendariz ring, 2-primal ring, Armendariz ring, nilpotent element MSC numbers : 16D25, 16N40, 16S36 Downloads: Full-text PDF