The Simplicity and Periodicity of Lattice Implication Algebra

WANG Xue-fang; XU Yang; SONG Zhen-ming

Volume 16 Issue 1

Feb. 2003

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Article Contents

Journal of Southwest Jiaotong University > 2003 > 16(1): 4-7.

WANG Xue-fang, XU Yang, SONG Zhen-ming. The Simplicity and Periodicity of Lattice Implication Algebra[J]. Journal of Southwest Jiaotong University, 2003, 16(1): 4-7.

Citation:

WANG Xue-fang, XU Yang, SONG Zhen-ming. The Simplicity and Periodicity of Lattice Implication Algebra[J]. Journal of Southwest Jiaotong University, 2003, 16(1): 4-7.

WANG Xue-fang, XU Yang, SONG Zhen-ming. The Simplicity and Periodicity of Lattice Implication Algebra[J]. Journal of Southwest Jiaotong University, 2003, 16(1): 4-7.

Citation:

WANG Xue-fang, XU Yang, SONG Zhen-ming. The Simplicity and Periodicity of Lattice Implication Algebra[J]. Journal of Southwest Jiaotong University, 2003, 16(1): 4-7.

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The Simplicity and Periodicity of Lattice Implication Algebra

Publish Date: 25 Feb 2003

Abstract

Abstract

The simplicity and periodicity of lattice implication algebra are discussed, and their relationship is studied. Several methods to determine the simplicity of a lattice implication algebra are presented. An important conclusion is that there is a unique dual atom in a finite simple lattice implication algebra whenever it has a dual atom.
- periodicity,
- lattice implication algebra,
- filter