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Original Articles

On Sums of Coefficients of Products of Polynomials

, &
Pages 4033-4046 | Received 12 Mar 2013, Published online: 23 Apr 2014
 

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.

2010 Mathematics Subject Classification:

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.

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