Abstract:
In this paper we introduce the notion of rooted ring with several
objects (rooted small preadditive category). Then, we obtain
characterizations of projective and flat
functors in the corresponding functor category, and use them to give new results concerning right perfect rooted rings
with several objects and pure semisimple finitely presented additive
categories. We conclude the paper applying the results to the module
category over a rooted ring with enough idempotents.
Key Words: Functor category, ring with enough
idempotents, projective, flat, rooted.
2000 Mathematics Subject Classification: Primary: 18A25;
Secondary: 16D40.
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