We discuss recent observations of CO, CS, and NH, emission lines from
two molecular clouds in the inner regions of M31. The intensities of t
he (CO)-C-12(1-0), (CO)-C-12(2-1), (CO)-C-13(1-0), and (CO)-C-13(2-1)
lines have been measured with the IRAM 30 m telescope at the same angu
lar resolution of 23''. Upper limits have been obtained in the CS(2-1)
, CS(3-2) and in the NH3(1, 1) and (2, 2) lines (the latter two with t
he Effelsberg 100 m telescope). The line intensities and ratios are co
mpared with the predictions of a one-side UV-illuminated plane-paralle
l model which treats consistently radiative, chemical, and excitation
precesses of CO and its isotopes. A satisfactory agreement cannot be a
chieved for a single-density model. It appears that the emission of th
e (CO)-C-12 lines is dominated by a low-density, very cold gas while t
hat of the (CO)-C-13 lines comes largely from higher density clumps in
side the clouds. The properties of the molecular clouds can be underst
ood as resulting mainly from a very small rate of photodissociation du
e to a very low UV radiation field, together with a low cosmic-ray den
sity. Typical kinematic temperatures inside the clouds can drop to val
ues less than 5 K.