阿贝尔范畴中的n-弱内射对象  

n-weak injective objects in Abelian category

作　　者：司慧如 姚海楼[1] SI Huiru;YAO Hailou(Department of Mathematics,Faculty of Science,Beijing University of Technology,Beijing 100124,China)

机构地区：[1]北京工业大学理学部数学系,北京100124

出　　处：《山东大学学报(理学版)》2025年第2期14-18,共5页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(12071120)。

摘　　要：在阿贝尔范畴中引入了n-超有限表现对象,利用n-超有限表现对象刻画了n-弱内射对象,得到了n-弱内射对象的一些基本性质。定义了阿贝尔范畴中对象的n-弱内射维数,讨论了短正合列中3个对象的n-弱内射维数之间的关系以及余挠理论。In the context of Abelian categories,the introduction of n-super finitely presented objects is employed to characterize nweak injective objects,thereby some fundamental properties of n-weak injective objects are established.The n-weak injective dimensions of objects in an Abelian category is defined,and the connections between the n-weak injective dimensions of three objects in a short exact sequence and the cotorsion theory are discussed.

关 键 词：阿贝尔范畴 n-弱内射对象 n-弱内射维数 

分 类 号：O153.3[理学—数学]