TY  - JOUR
TT  - QUASI-ARMENDARIZ PROPERTY ON POWERS OF COEFFICIENTS
AU  - Kwak, Tai Keun
AU  - Lee, Min Jung
AU  - Lee, Yang
PY  - 2014
DA  - June
DO  - 10.24330/ieja.266248
JF  - International Electronic Journal of Algebra
JO  - IEJA
PB  - Abdullah HARMANCI
WT  - DergiPark
SN  - 1306-6048
SP  - 208
EP  - 217
VL  - 15
IS  - 15
KW  - power-quasi-Armendariz ring
KW  - power of coefficient
KW  - quasi-Armendariz ring
KW  - Armendariz ring
KW  - polynomial ring
KW  - matrix ring
N2  - The study of Armendariz rings was initiated by Rege and Chhawchharia, based on a result of Armendariz related to the structure of reduced rings. Armendariz rings were generalized to quasi-Armendariz rings by Hirano. We introduce the concept of power-quasi-Armendariz (simply, p.q.- Armendariz) ring as a generalization of quasi-Armendariz, applying the role of quasi-Armendariz on the powers of coefficients of zero-dividing polynomials. In the process we investigate the power-quasi-Armendariz property of several ring extensions, e.g., matrix rings and polynomial rings, which have roles in ring theory.
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CR  - Department of Mathematics Daejin University Pocheon 487-711, Korea e-mail: tkkwak@daejin.ac.kr Min Jung Lee and Yang Lee Department of Mathematics Education Pusan National University Pusan 609-735, Korea e-mails: nice1mj@nate.com (Min Jung Lee) ylee@pusan.ac.kr (Yang Lee)
UR  - https://doi.org/10.24330/ieja.266248
L1  - https://dergipark.org.tr/en/download/article-file/232771
ER  -