可加正合范畴中的Ziegler偏态射
Ziegler Partial Morphisms in additive exact categories
摘要:
我们开发了一个一般理论的部分态射在添加剂的确切范畴,扩展了模型理论的概念介绍了齐格勒在特定情况下的纯精确序列的范畴内的模块在一个环。我们涉及部分态射(共)幻影态射和内射近似,并研究这些近似在这些确切的范畴的存在性。
英文摘要:
We develop a general theory of partial morphisms in additive exact categories which extends the model theoretic notion introduced by Ziegler in the particular case of pure-exact sequences in the category of modules over a ring. We relate partial morphisms with (co-)phantom morphisms and injective approximations and study the existence of such approximations in these exact categories.
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