Let k be a field, and A a finite-dimensional linear associative algebra over k. We assume that
A has an identity element, and that a A-module X is left, unital and of finite dimension as a k …

Let C be a small category and R a commutative ring with a 1. A representation of C over R is
a functor F: C→ R-mod where R-mod is the category of R-modules. This general concept …

In [Sh] we discussed the relationship between representation theory and the K-theory of
exact categories. In this paper we establish an analogous connection for the K-theory of …

NAB<.:(A x B) x c----f*-I;.(B% C), r, 4:= 3 x I---+--I, lA: 1<.-1-*.+ J. and k,,:-4, q B--+ B '*.-I,
colzerml in the sense of Mac I, anc [28]. Also, there exists a natural isomorphism w …

ON FUNDAMENTAL CONSTRUCTIONS AND ADJOINT FUNCTORS J. -M. Maranda (received
April 15, 1966) A fundamental construction of a categ Page 1 ON FUNDAMENTAL …

In [6] Brown and Spencer noted that internal categories within the category of groups are
equivalent to crossed modules. As they remarked, this result was known to various others …

An exact category is an additive category together with a notion of short exact sequence
which satisfies some familiar properties. In [3], Quillen defines the K-groups of an exact …

Let K and L be fields. We consider the problem of classifying functors from the category of
finite dimensional K-vector spaces and K-linear maps, to y (L). For any two categories A and …

The basic construction of the derived functors and their connecting morphisms is described
in the first section. B. Neumann [14] has pointed out that a fully invariant subgroup J of a free …

ON ADJOINT FUNCTORS IN REPRESENTATION THEORY R. Bautista L. Colavita L.
Salmeron It is known that whenever we have a cotriple [ Page 1 ON ADJOINT FUNCTORS IN …