International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 93249, 9 pages
Filters of -algebras
1Department of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, Korea
2College of Science, Xi'an Jiaotong University, Xi'an 710049, China
Received 3 December 2005; Accepted 2 May 2006
Copyright © 2006 Young Bae Jun and Liu Lianzhen. 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.
The notion of fated filters in -algebras is introduced.
Characterizations of (fated) filters are given. A filter generated
by a set is established. By introducing the notion of finite
-property, we show that if is a nonempty subset of an
-algebra that has the finite -property, then there
exists a maximal filter of