Riesz模范畴中直积与直和的性质研究  

Study on the Properties of Direct Product and Direct Sum in Riesz Module Category

作　　者：刘晓芳 汤建钢 Liu Xiaofang;Tang Jiangang(College of Mathematics and Statistics,Yili Normal University,Yining,Xinjiang 835000,China;Institute of Applied Mathematics,Yili Normal University,Yining,Xinjiang 835000,China)

机构地区：[1]伊犁师范大学数学与统计学院,新疆伊宁835000 [2]伊犁师范大学应用数学研究所,新疆伊宁835000

出　　处：《伊犁师范大学学报（自然科学版）》2023年第3期1-12,共12页Journal of Yili Normal University：Natural Science Edition

基　　金：新疆维吾尔自治区高校科研计划自然科学重点项目(XJEDU2019I024).

摘　　要：在Riesz模范畴概念的基础上,给出了两个Riesz模的直积与直和的定义,研究了Riesz模直积与直和的若干性质.Based on the concept of Riesz module category,the definitions of direct product and direct sum of Riesz modules are given,and some properties of direct product and direct sum of Riesz modules are studied.

关 键 词：Riesz模范畴 直积 直和 

分 类 号：O154[理学—数学] O159[理学—基础数学]