Quantale的最大左半可换商  

The Largest Left Semi-commutative Quotient of a Quantale

作　　者：董倩[1] 汪开云[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,西安710119

出　　处：《吉林大学学报（理学版）》2016年第3期421-426,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11531009;11301316);陕西省自然科学基金(批准号:2015JM1020);中央高校基本科研业务费专项基金(批准号:GK201302003;GK201501001)

摘　　要：通过引入Quantale上左半可换核映射的概念,用Quantale中的左准对称元给出最大左半可换商的刻画,证明了左半可换Quantale范畴是Quantale范畴的反射子范畴,并讨论了局部核映射与左半可换核映射之间的关系.By introducing the concept of a left semi-commutative nucleus on a Quantale,we gave a characterization of the largest left semi-commutative quotient of a Quantale by means of its left pre-symmetric elements,proved that the category of left semi-commutative Quantales are reflective subcategory of the category of Quantales,and discussed the relationships between localic nuclei and left semi-commutative nuclei.

关 键 词：QUANTALE Quantale商 左半可换核映射 局部核映射 

分 类 号：O153.1[理学—数学]