… Our main result is that any pure semisimple category which has only finitely … types of
simple objects is equivalent to the category of all left modules over a ring of finite representation …

… R modules is pure semisimple. In [4, Theorem 2.31 we claim that any pure semisimple category
A … types of simple objects is equivalent to the category of all modules over a ring of finite …

… pure semi-simple functor categories. The main result asserts that a pure semi-simple functor
category … If R is offinite representation type then R is Morita equivalent to the tensor algebra …

… where the category Repk(G,ε) is a semisimple abelian category. … (G,ε) is semisimple if and
only if the category Repk(G) of all k-… If these categories are semisimple, we say G is reductive. …

… type. If there exists an example of a left pure-semisimple ring which is not of finite representation
type, we … objects of the category (mod-R, Ab) of functors from the category mod-R to the …

… “pure” counterpart of semi-simple categories (cf. [9]). We recall that a Grothendieck category
is pure semi-simple … The ring , R is of finite representation type and we have I (R-Mod) = Mod-…

… representation type of left pure semisimple and right artinian rings. As an application, we prove
that a left pure semisimple ring … finite representation type if and only if it is left locally finite. …

… One of the objectives of this paper is to show that, if A is a Grothendieck category of locally
finite representation type with enough projectives, then almost split sequences exist in the …

… of finite dimensional algebras of finite representation type (besides semisimple algebras).
Recall … In this respect, one well known and general result of a similar flavor as the above pure …

… The conjecture says that the category of GIT-modules should be "graded semi simple" . In
[AJS94] we construct a 'd.-grading on UlpJ and prove that it gives a Koszul grading on the …