Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

TOPOLOGICAL ASPECTS OF FILTERS IN LATTICE IMPLICATION ALGEBRAS

  • Jun, Young-Bae (DEPARTMENT OF MATHEMATICS EDUCTIONS (AND RINS), GYEONGSANG NATIONAL UNIVERSITY)
  • Published : 2006.05.01
Download PDF
⟨ Previous Next ⟩

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

References

  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

Cited by

  1. Lack of associative filters in lattice implication algebras vol.16, pp.4, 2012, https://doi.org/10.1007/s00500-011-0783-3