摘要
引入了L集合范畴中的一些基本概念,研究了L集合范畴的两种函数空间,即格值函数空间与伪格值函数空间,进一步指出了格值函数空间函子与格值积函子互为伴随,伪格值函数空间函子与格值并函子也互为伴随,并讨论了关于格值函数空间与伪格值函数空间的部分性质.
In this paper we introduced some conceptions in the category of L-Sets,and researched the two kinds of functional spaces in this category,which are the lattice-valued functional space and the pseudo lattice-valued functional space. Finally,we found the lattice-valued functional space functor is a right adjoin for the lattice-valued product functor,in other words,the category of L-Sets is Cartesian closed,and the pseudo lattice-valued functional space functor is also a right adjoint for the lattice-valued join functor.
出处
《伊犁师范学院学报(自然科学版)》
2010年第2期1-5,共5页
Journal of Yili Normal University:Natural Science Edition
基金
国家自然科学基金项目(10871137)
新疆自然科学基金项目(200721103)
自治区高校科研计划重点项目(XJEDU2006157)
伊犁师范学院2008年度大学生科研计划课题(2008XS06)
关键词
格值乘积
格值函数空间
伪格值函数空间
伴随函子
Cartesian闭性
Lattice-valued product
Lattice-valued functional space
Pseudo lattice-valued functional space
Adjoint functor
Cartesian closed