  We study track categories (i.e., groupoid-enriched categories) endowed with
additive structure similar to that of a 1-truncated DG-category, except that
composition is not assumed right linear. We show that if such a track category
is right linear up to suitably coherent correction tracks, then it is weakly
equivalent to a 1-truncated DG-category. This generalizes work of the first
author on the strictification of secondary cohomology operations. As an
application, we show that the secondary integral Steenrod algebra is
strictifiable.
