坡代数中L-理想的若干范畴性质  

Some Category Properties of L-ideals in Inclines

作　　者：伏文清[1] 李生刚[2] 

机构地区：[1]西安工业大学理学院,陕西西安710032 [2]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《模糊系统与数学》2013年第6期79-85,共7页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11071151);陕西省自然科学基金资助项目(2010JM1005);陕西省教育厅专项科研计划项目(11JK0484)

摘　　要：研究坡代数中L-理想所构成的范畴L-Id的性质。给出了坡代数中L-理想范畴的定义,证明了其为坡代数范畴上的拓扑范畴,给出了其中等子和乘积的构造,证明了它有拉回。定义了坡代数理想L-余塔的概念,以及由所有坡代数理想L-余塔构成的范畴IncC L|Id,证明了在一定条件下,范畴L-Id与范畴IncC L|Id同构。Category of L-ideals in inclines L-Id and its properties are studied in this paper. Firstly, the category of L-ideals in inclines is defined, and it is proved to be a topological category on the category of inclines, the formation of equalizer and product in L-Id are given, and it is proved that the category L-Id has pull back. Secondly, the consept of L-cotower of ideals in inclines and the category of them is defined, it is proved that, the category L-Id and category IncLC IId are isomorphic under some appropriate condition.

关 键 词：坡代数 L-理想 拓扑范畴 等子 乘积 同构 

分 类 号：O159[理学—数学]