Additive categories play a fundamental role in mathematics and related disciplines. Given
an additive category equipped with a biadditive functor, one can construct its category of …

The Grothendieck construction is a process to form a single category from a diagram of small
categories. In this paper, we extend the definition of the Grothendieck construction to …

Full article: D4-objects in abelian categories: Transfer via functors Skip to Main Content Taylor
and Francis Online homepage Taylor and Francis Online homepage Access provided by The …

We study those 2-monads on the 2-category Cat of categories which, as endofunctors, are
the left Kan extensions of their restrictions to the sub-2-category of finite discrete categories …

We introduce a general concept of an algebraic category, the (E, M)-algebraic categories (A,
i/) over an (E, M)-category X, ie< 7 is a right adjoint and lifts (E, M)-factorizations uniquely …

Let A be a skeletally small preadditive category. preadditive means that, for each pair, A, B,
of objects of A, the set, A (A, B), we write just (A, B), of morphisms from A to B is equipped …

Given any additive category C with split idempotents, pseudokernels and pseudocokernels,
we show that a subcategory B is coreflective if, and only if, it is precovering, closed under …

For a category, we investigate the problem of when the coproduct⊕ and the product
functor∏ from I to are isomorphic for a fixed set I, or, equivalently, when the two functors …

Epimorphisms of additive categories up to direct factors - ScienceDirect Skip to main contentSkip
to article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full …

In 1970, M. Gerstenhaber introduced a list of axioms defining Moore categories in order to
develop the Baer Extension Theory. In this paper, we study some implications between the …