TL-filters of Lattice Implication Algebras

HUANG Li-ming, HE Jun, DUAN Fang. TL-filters of Lattice Implication Algebras[J]. Journal of Neijiang Normal University, 2011, (8): 6-8.

Citation:

HUANG Li-ming, HE Jun, DUAN Fang. TL-filters of Lattice Implication Algebras[J]. Journal of Neijiang Normal University, 2011, (8): 6-8.

Citation:

HUANG Li-ming, HE Jun, DUAN Fang. TL-filters of Lattice Implication Algebras[J]. Journal of Neijiang Normal University, 2011, (8): 6-8.

Abstract

By application of the t-norm of bounded lattices to filters of a lattice implication algebra, the concept of TL-filters of a lattice implication algebra is thus put forth. The properties of TL-filters and some of their equivalent characterizations are examined, and the relation between TL-filters and the filters is also explored.

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