Honam Mathematical Journal (호남수학학술지)
- Volume 28 Issue 4
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- Pages.471-484
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- 2006
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- 1225-293X(pISSN)
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- 2288-6176(eISSN)
CHARACTERIZATIONS OF FILTERS AND IDEALS ON WFI-ALGEBRAS
- JUN, YOUNG BAE (Department of Mathematics Education and (RINS) Gyeongsang National University) ;
- PARK, CHUL HWAN (Department of Mathematics University of Ulsan) ;
- ROH, EUN HWAN (Department of Mathematics Education Chinju National University of Education)
- Received : 2006.11.01
- Published : 2006.12.31
Abstract
The notion of ideals in WFI-algebras is introduced, and several properties are investigated. Relations between a filter and an ideal are given, and characterizations of an ideal are provided. An extension property for an ideal is established.
Keywords
- (associative, medial, simulative, mutant) WFI-algebras;
- subalgebras;
- (simulatively closed) filter;
- simulative part;
- ideal