Ding内射Ext-Phantom态射  

Ding Injective Ext-Phantom Morphisms

作　　者：刘明珠 杨晓燕 

机构地区：[1]西北师范大学,数学与统计学院,甘肃 兰州

出　　处：《理论数学》2022年第6期1027-1033,共7页Pure Mathematics

摘　　要：本文引入了Ding内射Ext-phantom态射,讨论了其基本同调性质。并证明了Ding内射Ext-phantom态射的类是R-Mod的一个理想。特别地,给出了一个R-模态射是Ding内射Ext-phantom态射的等价刻画。This paper introduces the Ding injective Ext-phantom morphisms, discusses basic homological properties of Ding injective Ext-phantom morphisms, and proves the collection of all Ding injective Ext-phantom morphisms is an ideal of R-Mod. In particular, the equivalent characterization that a morphism of R-modules is a Ding injective-Ext-phantom morphism is given.

关 键 词：FP-内射模 Ding内射Ext-Phantom态射 预包络 

分 类 号：O153.3[理学—数学]