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
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