The Topological Structure of Lattice Implication Algebras

WANG Wei; XUYang; QINKe-yun

Volume 15 Issue 3

Jun. 2002

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Article Contents

Journal of Southwest Jiaotong University > 2002 > 15(3): 343-346.

WANG Wei, XUYang, QINKe-yun. The Topological Structure of Lattice Implication Algebras[J]. Journal of Southwest Jiaotong University, 2002, 15(3): 343-346.

Citation:

WANG Wei, XUYang, QINKe-yun. The Topological Structure of Lattice Implication Algebras[J]. Journal of Southwest Jiaotong University, 2002, 15(3): 343-346.

WANG Wei, XUYang, QINKe-yun. The Topological Structure of Lattice Implication Algebras[J]. Journal of Southwest Jiaotong University, 2002, 15(3): 343-346.

Citation:

WANG Wei, XUYang, QINKe-yun. The Topological Structure of Lattice Implication Algebras[J]. Journal of Southwest Jiaotong University, 2002, 15(3): 343-346.

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The Topological Structure of Lattice Implication Algebras

Publish Date: 25 Jun 2002

Abstract

Abstract

The concept of week filters of lattice implication algebra and their properties and structures are discussed. It is proved that all week filters of lattice implication algebra form a topological structure and the implication isomorphism between two lattice implication algebras is the mapping of their topological structures.
- lattices,
- algebra,
- lattice implication algebra,
- weak filters,
- topological structure