Answers are grounded in this paper and cite their sources.
This paper characterizes unit and zero-divisor elements in the ring of dual numbers, indicating the behavior of polynomials over integers.
For any commutative ring with unity R, a new ring can be defined called the ring of dual numbers of the ring R, denoted by R[α]. In this paper we obtain a characterization of unit and zero-divisor elements in the ring of dual numbers of the ring of integers modulo n, Zn[α].
No takes yet. Share an insight, caveat, or question.
Isam Aljaafreh (2025) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: