陕西师范大学学报：自然科学版2011，Vol.39Issue(5)：1-6,6.
Quantale上的预核映射与预理想余核映射
The pre-nuclei and pre-ideal conuclei mappings on Quantales
摘要
Abstract
The definitions of pre-（resp.left,right） nuclei mappings and pre-（resp.left,right） ideal conuclei mappings on Quantales are introduced,the relative properties of pre-nuclei and pre-ideal conuclei mappings are proved.The relations among pre-nuclei mappings and quantic quotients,pre-ideal conuclei and ideal are constructed,respectively.The extensions of the pre-nuclei and pre-ideal conuclei mappings to unital Quantale and Girard Quantales are given.It is proved that the set of pre-nuclei mappings and the duality of the set of pre-ideal conuclei mappings are sup-lattice isomorphic.关键词
Quantale/预核映射/预理想余核映射/完备格同构Key words
Quantale/pre-nuclei mappings/pre-ideal conuclei mappings/sup-lattice isomorphism分类
数理科学引用本文复制引用
孙鹏娟,赵彬..Quantale上的预核映射与预理想余核映射[J].陕西师范大学学报：自然科学版,2011,39(5):1-6,6.基金项目
国家自然科学基金资助项目 （）
