  We present sufficient conditions for the existence of matchings in abelian
groups and their linear counterparts. These conditions lead to extensions of
existing results in matching theory. Additionally, we classify subsets within
abelian groups that cannot be matched. We introduce the concept of Chowla
subspaces and formulate and conjecture a linear analogue of a result originally
attributed to Y. O. Hamidoune [20] concerning Chowla sets. If proven true, this
result would extend matchings in primitive subspaces. Throughout the paper, we
emphasize the analogy between matchings in abelian groups and field extensions.
We also pose numerous open questions for future research. Our approach relies
on classical theorems in group theory, additive number theory and linear
algebra. As the title of the paper suggests, this work is the second sequel to
a previous paper [5] with a similar theme. This paper is self-contained and can
be read independently.
