International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 61549, 7 pages
doi:10.1155/2007/61549
Research Article
On Classical Quotient Rings of Skew Armendariz Rings
Department of Mathematics, Tarbiat Modares University, P.O. Box 14115-170, Tehran, Iran
Received 7 February 2007; Accepted 2 August 2007
Academic Editor: Howard E. Bell
Copyright © 2007 A. R. Nasr-Isfahani and A. Moussavi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Let R be a ring, α an automorphism, and δ an
α-derivation of R. If the classical quotient ring Q of
R exists, then R is weak α-skew Armendariz if and only if Q is weak α˜-skew Armendariz.