Abstract
We study the nilpotency of the sums of all coefficients of some sorts of products of polynomials over reversible, IFP, and NI rings, and introduce an SCN ring as a generalization. We characterize SCN rings in relation with related ring properties, and also provide several useful properties and ring extensions of SCN rings.
ACKNOWLEDGMENTS
The authors thank the referee for very careful reading of the manuscript and many valuable suggestions that improved the paper by much.
Notes
Communicated by A. Smoktunowicz.