… The category D we have defined is just a preadditive category. Recall … semilocal rings. In
Commutative Algebra, a commutative ring is semilocal if it has only finitely many maximal ideals…

… maximal ideals, so that the endomorphism ring of a morphism between two uniserial modules
has at most four maximal ideals. … If A and B are preadditive categories and F : A → B is an …

… preadditive categories is additive if F is linear in the set of morphisms (all functors between
preadditive categories … The functor F is fully faithful if F is an isomorphism of abelian groups …

… additive categories, and we prove that an object of a finitely accessible additive category
is … Note that if R is semilocal, then coneat short exact sequences are the same as rad-coneat …

… show that the isomorphism classes of countably generated … to proceed for this problematic
maximal ideals. Analogous results … ples showing that over a semilocal domain being a direct …

… of the pre-additive ∞-category of tangentially framed … category enriched over abelian
groups that have the same objects and hom-groups being the quotient of the free abelian groups …

… a semilocal category is a preadditive category with a nonzero object such that the endomorphism
ring of every nonzero object is a semilocal … are completely prime maximal ideals of End(…

… We now continue in the study of the category Cn, which is a preadditive category. For every
… Perone, Maximal ideals in preadditive categories and semilocal categories, J. Algebra Appl. …

… preadditive categories is additive if F is linear in the set of morphisms (all functors between
preadditive categories … The functor F is fully faithful if F is an isomorphism of abelian groups …

… C 2 between preadditive categories is additive if F is linear in the set of morphisms (all functors
between preadditive categories will be … Maximal ideals of K[V ] correspond to points of V . …