Discrete Dynamics in Nature and Society (Jan 2013)
Intersection-Soft Filters in R0-Algebras
Abstract
The notions of (strong) intersection-soft filters in R0-algebras are introduced, and related properties are investigated. Characterizations of a (strong) intersection-soft filter are established, and a new intersection-soft filter from old one is constructed. A condition for an intersection-soft filter to be strong is given, and an extension property of a strong intersection-soft filter is established.