  We extend the notion of regular coherence from rings to additive categories
and show that well-known consequences of regular coherence for rings also apply
to additive categories. For instance the negative K-groups and all twisted
Nil-groups vanish for an additive category if it is regular coherent. This will
be applied to nested sequences of additive categories, motivated by our ongoing
project to determine the algebraic K-theory of the Hecke algebra of a reductive
p-adic group.
