Filters of R 0 -algebras

Young Bae Jun and Liu Lianzhen

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-9

Abstract:

The notion of fated filters in R 0 -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 R 0 -algebra L that has the finite ⊙ -property, then there exists a maximal filter of L containing F .

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:093249

DOI: 10.1155/IJMMS/2006/93249

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