Work

Hurwitz Split Quaternions

Year: 2026

Type: article

Abstract: ABSTRACT In this work, we introduce the set of Hurwitz split quaternions, , which is an extension of the split quaternions over the integers, . In comparison to , the Hurwitz splits only have integer or half‐integer coefficients, not both. We demonstrate that it has a ring structure and examine certain features of this notion by pointing out the differences from . We also provide the matrix representation of the ring of Hurwitz split quaternions. In addition, we study some of its prime ideals and show that this ring is Noetherian. Then we describe the set of integer‐valued polynomials over to be . Once we prove forms a ring, we investigate some essential properties of this ring.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.70587

Author: Neslihan Ayşen Özbay

Institution: Çankaya University

Language: English

Topic: Algebraic and Geometric Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W7129825610

FWCI:

Cites: 10

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