新疆师范大学学报（自然科学版）2024，Vol.43Issue(3)：55-63,9.
Riesz模范畴中拉回与推出的性质研究
Study on Properties of Pull-back and Push-out in the Category of Riesz Modules
摘要
Abstract
Pull-back and push-out,also known as fibre product and fibre coproduct,are two important dual concepts in category theory,and are abstraction of many concepts in mathematics,with rich connotations.In this paper,existence and uniqueness of pull-back and push-out are studied in the category of Riesz modules.Firstly the notion of pull-back is introduced by constructing an object and a pair of morphisms that satisfy the notion of pull-back in the category of Riesz modules,and prove the existence and uniqueness of pull-back.Dually,the notion of congruence relation is introduced in the category of Riesz modules,based on which the notion of quotient of Riesz modules is defined by applying the congruence relation as a quotient.Then,the notion of push-out is defined by constructing an object and a pair of morphisms that satisfy the notion of push-out in the category of Riesz modules,and prove the existence and uniqueness of push-out.关键词
Riesz模/范畴/拉回/推出Key words
Riesz modules/Category/Pull-back/Push-out分类
数理科学引用本文复制引用
余萧雯,汤建钢,李丹阳..Riesz模范畴中拉回与推出的性质研究[J].新疆师范大学学报（自然科学版）,2024,43(3):55-63,9.基金项目
伊犁师范大学提升学科综合实力专项项目(22XKZZ20). （22XKZZ20）
