  Baryon magnetic moments are computed in baryon chiral perturbation theory in
the large-$N_c$ limit at one-loop order, where $N_c$ is the number of color
charges. Orders $\mathcal{O}(m_q^{1/2})$ and $\mathcal{O}(m_q \ln m_q)$
corrections are both evaluated including all the operator structures that
participate at the physical value $N_c=3$. The complete expressions for octet
and decuplet baryon magnetic moments in addition to decuplet-octet baryon
transition moments are thus compared to their available counterparts obtained
in heavy baryon chiral perturbation theory for degenerate intermediate baryons
in the loops. Theoretical expressions fully agree at the physical values
$N_c=3$ and $N_f=3$ flavors of light quarks. Some numerical evaluations are
produced via a least-squares fit to explore the free parameters in the
analysis. Results point out the necessity of incorporating the effects of
non-degenerate intermediate baryons in the loops for a consistent determination
of these free parameters.
