格蕴涵代数的拓扑结构

The Topological Structure of Lattice Implication Algebras

摘要: 给出了格蕴涵代数中弱滤子的概念,对弱滤子的性质和结构进行了研究,证明了格蕴涵代数中全体弱滤子构成一个拓扑结构,格蕴涵代数之间的蕴涵同构是相应拓扑结构之间的拓扑映射。
- 格 /
- 代数 /
- 格蕴涵代数 /
- 弱滤子 /
- 拓扑结构
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

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