[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2015.52.4.781

ON SEMI-ARMENDARIZ MATRIX RINGS

KOZLOWSKI, KAMIL (Faculty of Computer Science Bialystok University of Technology)
MAZUREK, RYSZARD (Faculty of Computer Science Bialystok University of Technology)

Publication Information

Journal of the Korean Mathematical Society / v.52, no.4, 2015 , pp. 781-795 More about this Journal

Abstract

Given a positive integer n, a ring R is said to be n-semi-Armendariz if whenever $f^n=0$ for a polynomial f in one indeterminate over R, then the product (possibly with repetitions) of any n coefficients of f is equal to zero. A ring R is said to be semi-Armendariz if R is n-semi-Armendariz for every positive integer n. Semi-Armendariz rings are a generalization of Armendariz rings. We characterize when certain important matrix rings are n-semi-Armendariz, generalizing some results of Jeon, Lee and Ryu from their paper (J. Korean Math. Soc. 47 (2010), 719-733), and we answer a problem left open in that paper.

Keywords

n-semi-Armendariz ring; semi-Armendariz ring; upper triangular matrix ring;

Citations & Related Records

Times Cited By KSCI : 2 (Citation Analysis)

Reference
Cited By KSCI

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