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Pure Mathematics 2022
Ding内射Ext-Phantom态射
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Abstract:
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.
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