Filters ofR0-algebras

摘要

The notion of fated filters inR0-algebras is introduced.Characterizations of (fated) filters are given. A filter generatedby a set is established. By introducing the notion of finite⊙-property, we show that ifFis a nonempty subset of anR0-algebraLthat has the finite⊙-property, then thereexists a maximal filter ofLcontainingF.