Generalizations of Implication Algebras
msra(2007)
摘要
Implication algebras, originally introduced in order to study algebraic properties of the implication operation in Boolean algebras, are generalized and it is shown that these more general algebras are in one-to-one correspondence to semilattices with 1 the principal filters of which are posets with an antitone involution, respectively to commutative directoids with 1 the principal filters of which are posets with a switching involution.
更多查看译文
关键词
boolean algebra,poset,orthomodular lattice,weak i-algebra,switching involution.,antitone involution,orthoimplication algebra,semilattice,orthomodular implication algebra,implication algebra,directoid,strong i-algebra
AI 理解论文
溯源树
样例
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要