On Sums of Coefficients of Products of Polynomials |
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| Authors: | Tai Keun Kwak Yang Lee |
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| Institution: | 1. Department of Mathematics , Daejin University , Pocheon , South Korea;2. Department of Mathematics Education , Pusan National University , Pusan , Korea |
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| 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. |
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| Keywords: | NI ring Ore extension Polynomial ring Upper nilradical Von Neumann regular ring Skew power series ring |
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