论文标题

Ziegler局部形态在加性精确类别中

Ziegler Partial Morphisms in additive exact categories

论文作者

Cortés-Izurdiaga, Manuel, Asensio, Pedro A. Guil, Kalebogaz, Berke, Srivastava, Ashish K.

论文摘要

我们在加性精确类别中开发了部分形态的一般理论,该理论扩展了Ziegler在一个模块类别中特定的纯表现序列中引入的模型理论概念。我们将部分形态与(共同的幻影形态和外注射近似值联系起来,并研究了这些精确类别中这种近似值的存在。

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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