陕西师范大学学报：自然科学版
陝西師範大學學報：自然科學版
협서사범대학학보：자연과학판
Journal of Shaanxi Normal University： Nat Sci Ed
2011年
5期
1-6
,共6页
Quantale%预核映射%预理想余核映射%完备格同构
Quantale%預覈映射%預理想餘覈映射%完備格同構
Quantale%예핵영사%예이상여핵영사%완비격동구
Quantale%pre-nuclei mappings%pre-ideal conuclei mappings%sup-lattice isomorphism
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.
在Quantale中引入預（左、右）覈映射與預（左、右）理想餘覈映射的概唸,討論瞭它們的若榦性質,建立瞭預覈映射與Quantale商的關繫和預理想餘覈與理想的關繫;探討瞭預覈映射與預理想餘覈映射到單位Quantale與Girard Quantale的擴張等問題;在預Girard Quantale中,預覈映射之集與預理想餘覈映射之集的對偶是完備格同構.
재Quantale중인입예（좌、우）핵영사여예（좌、우）이상여핵영사적개념,토론료타문적약간성질,건립료예핵영사여Quantale상적관계화예이상여핵여이상적관계;탐토료예핵영사여예이상여핵영사도단위Quantale여Girard Quantale적확장등문제;재예Girard Quantale중,예핵영사지집여예이상여핵영사지집적대우시완비격동구.
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.
