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http://dx.doi.org/10.4134/BKMS.2006.43.2.227

TOPOLOGICAL ASPECTS OF FILTERS IN LATTICE IMPLICATION ALGEBRAS  

Jun, Young-Bae (DEPARTMENT OF MATHEMATICS EDUCTIONS (AND RINS), GYEONGSANG NATIONAL UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.43, no.2, 2006 , pp. 227-233 More about this Journal
Abstract
A condition for a lattice filter to be a filter is given. Using the prime filter theorem which is discussed in [2], topological aspects on filters are discussed.
Keywords
litter filter; (prime)filter;
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Times Cited By SCOPUS : 1
연도 인용수 순위
1 Y. B. Jun, Implicative filters of lattice implication algebras, Bull. Korean Math. Soc. 34 (1997), no. 2, 193-198
2 J. Liu and Y. Xu, On prime filters and decomposition theorem of lattice implica- tion algebras, J. Fuzzy Math. 6 (1998), no. 4, 1001-1008
3 Y. Xu, Lattice implication algebras, J. Southwest Jiaotong Univ. 1 (1993), 20-27
4 Y. Xu and K. Y. Qin, On filters of lattice implication algebras, J. Fuzzy Math. 1 (1993), no. 2, 251-260