Abstract
This paper presents some basic properties of the category of trees of abelian groups. In particular an elementary proof of the existence of kernels in the category of “finitely generated” trees is included. Also a characterization of projective dimension in the class of “pro-finitely generated” trees is given in terms of the inverse limit functor.
2000 AMS Subject Classification:
Acknowledgment
This work was partially supported by the project BFM2001-3195-C02-01.