效应代数的EA-滤子和EA-态射的相关性质  

Related Properties of EA-Filters with EA-morphism of Effect Algebras

作　　者：张燕[1] 吴洪博[1] ZHANG Yan;WU Hong-bo(College of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,China)

机构地区：[1]陕西师范大学数学与信息科学学院

出　　处：《模糊系统与数学》2019年第6期37-46,共10页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61572016;11531009;61673250)

摘　　要：首先,在效应代数中引入了EA-滤子的概念,给出了EA-滤子的几种等价刻画,讨论了效应代数中真EA-滤子与极大EA-滤子间的关系;其次.在格效应代数中讨论了EA-滤子与格滤子之间的关系;最后,讨论了EA-态射的核的EA-滤子性质和SEA-滤子关于EA-态射的相关性质,并利用SEA-滤子得到了格效应代数泊同构定理。Firstly,the concept of EA-filter is proposed in effect algebras,the equivalent forms of the EA-filters are given,the relationship between proper EA-filters and maximal EA-filters is discussed in effect algebras;Secondly,the relationship between EA-filters and lattice filters is discussed in lattice effect algebras;Finally,the properties of EA-filters of kernel of EA-morphism and related properties of SEA-filters with EA-morphism are investigated,and the isomorphism theorem about lattice effect algebras is established by using SEA-filters.

关 键 词：效应代数 EA-滤子 格效应代数 EA-态射 SEA-滤子 商代数 同构定理 

分 类 号：O154[理学—数学]