Abstract
We study graded left semiartinian rings with finite support. It is shown that the semiartinian property is preserved when we pass to the smash product in the sense of Quinn. We apply these results to investigate left perfect graded rings.
Acknowledgments
The third author was partially supported by Ministerio de Ciencia y Tecnología of Spain Grant BFM2002-02717. The authors wish to thank the referee for useful remarks.