Quantale上的预核映射与预理想余核映射OA北大核心CSCDCSTPCD
The pre-nuclei and pre-ideal conuclei mappings on Quantales
在Quantale中引入预（左、右）核映射与预（左、右）理想余核映射的概念,讨论了它们的若干性质,建立了预核映射与Quantale商的关系和预理想余核与理想的关系;探讨了预核映射与预理想余核映射到单位Quantale与Girard Quantale的扩张等问题;在预Girard Quantale中,预核映射之集与预理想余核映射之集的对偶是完备格同构.
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 prove…查看全部>>
孙鹏娟;赵彬
陕西师范大学数学与信息科学学院,陕西西安710062陕西师范大学数学与信息科学学院,陕西西安710062
数学
Quantale预核映射预理想余核映射完备格同构
Quantalepre-nuclei mappingspre-ideal conuclei mappingssup-lattice isomorphism
《陕西师范大学学报：自然科学版》 2011 (5)
Quantale相关结构的代数性质研究
1-6,6
国家自然科学基金资助项目（10871121,11001158）
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