Results are presented of magnetic and specific-heat studies performed on some equiatomic compounds of the series UTX with a special emphasis on non-ferromagnetic UNiAl, UCoAl, URuA1 and URuGa. The occurrence of magnetism in these compounds is attributed mainly to the 5f electrons of uranium. The systematics of the ground-state properties across the series is discussed with respect to delocalization mechanisms of the 5f electrons. The possible role of spin fluctuations in the low-temperature behaviour of UCoAl, URuAl and URuGa is indicated by magnetic measurements. The compound with the highest ¿ value, UNiAl (¿ = 167 mJ/mol K2), behaves as an itinerant antiferromagnet.