2020/03/09 by Cortés-Izurdiaga, Manuel, Asensio, Pedro A. Guil, Kalebogaz, Berke +1
#FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2003.04449
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.