Lattice Implication Algebraic Equations
in Lattice Implication Algebras

PANXiao-dong; XU Yang; ZHANG Qing

Volume 18 Issue 6

Dec. 2005

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Article Contents

Journal of Southwest Jiaotong University > 2005 > 18(6): 842-845.

PANXiao-dong, XU Yang, ZHANG Qing. Lattice Implication Algebraic Equationsin Lattice Implication Algebras[J]. Journal of Southwest Jiaotong University, 2005, 18(6): 842-845.

Citation:

PANXiao-dong, XU Yang, ZHANG Qing. Lattice Implication Algebraic Equations in Lattice Implication Algebras[J]. Journal of Southwest Jiaotong University, 2005, 18(6): 842-845.

PANXiao-dong, XU Yang, ZHANG Qing. Lattice Implication Algebraic Equationsin Lattice Implication Algebras[J]. Journal of Southwest Jiaotong University, 2005, 18(6): 842-845.

Citation:

PANXiao-dong, XU Yang, ZHANG Qing. Lattice Implication Algebraic Equations in Lattice Implication Algebras[J]. Journal of Southwest Jiaotong University, 2005, 18(6): 842-845.

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Lattice Implication Algebraic Equations in Lattice Implication Algebras

Publish Date: 25 Dec 2005

Abstract

Abstract

According to the theory about logic algebraic equation, the notion of lattice implication algebraic equationwas proposed. Some typical one varialbe lattice implication algebraic equations in lattice implication algebrasLwere discussed. The necessary and sufficient conditions for existance of solutions for the equationswere presented. Based on the discussions, itwas proved that the solution sets of the equations are convex sublattices ofL.
- lattice implication algebra,
- lattice implication algebraic equation,
- convex sublattice,
- solvability,
- solution set