Ding内射Ext-Phantom态射
Ding Injective Ext-Phantom Morphisms
DOI: 10.12677/PM.2022.126112, PDF, HTML,    国家自然科学基金支持
作者: 刘明珠, 杨晓燕：西北师范大学，数学与统计学院，甘肃 兰州
关键词: FP-内射模；Ding内射Ext-Phantom态射；预包络；FP-Injective Module； Ding Injective Ext-Phantom Morphism； Preenvelope
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。
Abstract: 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.
文章引用：刘明珠, 杨晓燕. Ding内射Ext-Phantom态射[J]. 理论数学, 2022, 12(6): 1027-1033. https://doi.org/10.12677/PM.2022.126112

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