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arXiv · 2003.04449

Ziegler Partial Morphisms in additive exact categories

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

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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Manuel Cortés-Izurdiaga, Pedro A. Guil Asensio, Berke Kalebogaz, Ashish K. Srivastava. 2020-03-09. Ziegler Partial Morphisms in additive exact categories. https://arxiv.org/abs/2003.04449

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