International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 7, Pages 93249, 9 p.
doi:10.1155/IJMMS/2006/93249
Filters of R0-algebras
Young Bae Jun1
and Liu Lianzhen2
1Department of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, Korea
2College of Science, Xi'an Jiaotong University, Xi'an 710049, China
Abstract
The notion of fated filters in R0-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 F is a nonempty subset of an R0-algebra L that has the finite ⊙-property, then there exists a maximal filter of L containing F.