循环纯phantom态射  

Cyclic Pure Phantom Morphisms

作　　者：魏敏敏 赵仁育 WEI Minmin;ZHAO Renyu(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《吉林大学学报（理学版）》2024年第2期249-255,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11861055;12061061)。

摘　　要：通过引入循环纯phantom态射的概念,给出循环纯phantom态射的一些等价刻画,证明每个R-模都有核为循环纯内射模的满的循环纯phantom覆盖,并讨论循环纯phantom预覆盖在环变换下的传递性.By introducing the notion of cyclic pure phantom morphisms,we gave some equivalent characterizations of cyclic pure phantom morphisms,proved that every R-module had an epic cyclic pure phantom cover with the kernel cyclic pure injective modules,and discussed the transitivity of cyclic pure phantom precover under change of rings.

关 键 词：循环纯 循环纯phantom态射 预覆盖 

分 类 号：O153.3[理学—数学]