The superconducting transition temperatures of the quarternary alloy s
ystem Y(Ni1-xCox)(2)B2C, determined by ac susceptibility measurements
down to 1.2 K are reported. We find a decrease of T-c from 15.0 K for
the pure Ni compound to T-c < 1.2 K for x > 0.2, with growing Co conte
nt. SQUID measurements show that magnetic pairbreaking is not responsi
ble for the decrease in T-c. The results are discussed in a rigid band
model and in the Kaiser theory of nonmagnetic resonant states.