Abstract:

We introduced the notion of nil powerserieswise McCoy rings and gave the corresponding examples. It was proved that the n×n matrix rings over reduced rings is not nil powerserieswise McCoy rings. Moreover, we investigated the extensions of nil powerserieswise McCoy rings. It was shown
 that the direct product of nil powerserieswise McCoy rings is nil powerserieswise McCoy rings.

Key words: nilMcCoy rings, power series rings, nilpotent elements