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ABSTRACT
In this paper we determine when smash products of the form R#U(L) and R#u(L) satisfy a polynomial identity, where L is a Lie color algebra and R is either a semiprime or a prime ring acted on by L.
ACKNOWLEDGMENT
The first author's research was supported in part by the University Research Council and the Faculty Research and Development Fund of the College of Liberal Arts and Sciences at DePaul University. Much of the work was done when the first author was a visitor at the Białystock Technical University and he thanks them for their hospitality. The second author's research was supported in part by the KBN under Białystock Technical University grant No. W/WI/4/03.
Notes
#Communicated by E. Puczylowski.