纺织高校基础科学学报Issue(4):403-407,5.DOI:10.13338/j.issn.1006-8341.2015.04.004
Q-同态范畴及其与 Q-模范畴的同构
A categorical isomorphism between Q-modules and Q-homomorphisms
摘要
Abstract
This paper focuses the topic about Q‐module .First ,it is proved that the set of all sup‐preserving maps on a complete lattice with composition and pointwise order is a Quantale . Then ,based on the maps of Q‐homomorphisms ,the category of Q‐homomorphisms is pro‐posed .Finally ,it is show n that the category of Q‐homomorphisms is categorically isomorphic to the category of Q‐modules .关键词
Quantale/Q-模范畴/Q-同态范畴/范畴同构Key words
Quantale/Q-module/Q-homomorphism/categorical isomorphism分类
数理科学引用本文复制引用
沈冲,姚卫..Q-同态范畴及其与 Q-模范畴的同构[J].纺织高校基础科学学报,2015,(4):403-407,5.基金项目
国家自然科学基金资助项目(11201112);河北省自然科学基金资助项目(A2013208175,A2014403008);河北省高校百名优秀创新人才支持计划(Ⅱ)项目(BR2-210);河北省研究生创新基金资助项目 ()