Ziegler Partial Morphisms in additive exact categories
Rings and Algebras
2020-03-11 v1
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.
Cite
@article{arxiv.2003.04449,
title = {Ziegler Partial Morphisms in additive exact categories},
author = {Manuel Cortés-Izurdiaga and Pedro A. Guil Asensio and Berke Kalebogaz and Ashish K. Srivastava},
journal= {arXiv preprint arXiv:2003.04449},
year = {2020}
}
Comments
To appear in Bulletin of Mathematical Sciences