Filters of R0‐algebras
Young Bae Jun, Liu Lianzhen · International Journal of Mathematics and Mathematical Sciences · 2006
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.