摘要
在R0代数M的全体M P滤子集F(M)上定义格运算和伴随对,证明如此定义的M P滤子格F(M)也构成一个剩余格。在R0代数M的强素M P滤子子格F P(M)上引进一个逆序对合对应,得到了强素M P滤子子格F P(M)是一个拟布尔代数。
This paper focuses on the operation in MP filter sets of R0 algebras. The V-operation and ∧-operation and the adjoint pair （×,→） in MP filter sets of R0 algebras are defined. The conclusion that the MP filter lattices defined as it is a residuated lattice is obtained. The order-reverslng involution correspondence on strong-prime MP filter sublattices is introduced. It is proved that the strong-prime MP filter sublattices is a quasi-Boolean algebra.
出处
《模糊系统与数学》
CSCD
北大核心
2006年第3期26-33,共8页
Fuzzy Systems and Mathematics
基金
湖南省教育厅科学研究项目(04C630)
