Images of Multilinear Polynomials on Generalized Quaternion Algebras

2023/08/31 by Peter Danchev, Danchev, Peter Vassilev, Truong Huu Dung +3
Computer Science · Mathematics · #Advanced Vision and Imaging #Advanced Optimization Algorithms Research #Algebraic and Geometric Analysis

paper · pdf · doi:10.48550/arxiv.2308.16500

Abstract

The main goal of this paper is to extend [J. Algebra Appl. 20 (2021), 2150074] to generalized quaternion algebras, even when these algebras are not necessarily division rings. More precisely, in such cases, the image of a multilinear polynomial evaluated on a quaternion algebra is a vector space and we additionally provide a classification of possible images.

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