Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2007; 44(4): 691-699

Printed December 1, 2007

Copyright © The Korean Mathematical Society.

Perfect and concrete filters of WFI-algebras

Young Bae Jun

Gyeongsang National University

Abstract

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The notion of perfect filters and concrete filters in WFI-algebras is introduced, and several properties are investigated. Relations between a filter, a perfect filter and a concrete filter are given, and characterizations of a perfect filter and a concrete filter are provided. An extension property for a concrete filter and a perfect filter is established.

Keywords: WFI-algebra, subalgebra, (closed, perfect, concrete) filter, ideal

MSC numbers: 03G25, 03C05, 08A05

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