International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 15, Pages 2389-2397
Some chain conditions on weak incidence algebras
Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Received 19 March 2005; Revised 12 July 2005
Copyright © 2005 Surjeet Singh and Fawzi Al-Thukair. 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.
Let be any partially ordered set, any commutative ring, and the weak incidence algebra of over . Let be a finite nonempty subset of , , and . Various chain conditions on are investigated. The results so proved are used to construct some classes of right perfect rings that are not left perfect.