Some Properties of Unit, Zero-Divisor and Idempotent Elements of the Ring of Dual Numbers of the Ring Zn, Zn[α]
Year: 2025
Type: article
Abstract: 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].
Author: Isam Aljaafreh
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4414582079
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