… Kaplansky Theorem in certain classes of additive categories, namely Grothendieck categories
and finitely accessible additive categories… of our Baer-Kaplansky Theorem. We first recall …

… categories the class of flat objects form such Kaplansky classes, and hence induce monoidal
model structures on the associated chain complex categories… Let G : A −→ B be an additive …

… Our results are apparently examples of Baer-Kaplansky type theorems for global, … additive
category. In this setting the algebra A(G) is just the QC/-endomorphism ring of G . The category …

… The following Kaplansky type theorem can be considered as a generalization of the
Gleason-Kahane-Zelazko Theorem [… We will establish the proof of Theorem 2.2 in several lemmas. …

… Baer-Kaplansky classes in preadditive categories. We show that a fully faithful covariant
additive functor between such categories preserves and reflects Baer-Kaplansky classes. As …

… category case. In the first section below we prove a Kruli-Schmidt Theorem for finite
decompositions in any additive category… theorems for infinite direct sums in additive categories …

… sort of category argument as is used here. We are also able to prove the theorem in the non-…
Hence F*/N is isomorphic to an additive group of realnumbers. Choose a fixed mapping of F…

… objects of an exactly definable additive category \({\mathcal … additive category \({\mathcal
{C}}\), we show that the class of finitely presented objects of \({\mathcal {C}}\) is Baer–Kaplansky …

… is a generalization of Ulm's classification theorem for … Kaplansky's and Mackey's generalization
of Ulm's theorem to … Schmidt theorem to an additive category associated with the category …

… A generalization of Kaplansky’s theorem on projective … in a module category ,fi (ie an abelian
category with coproducts … a small additive category) are just the covariant additive functors …