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arXiv · 2308.16500

Images of Multilinear Polynomials on Generalized Quaternion Algebras

Peter Vassilev Danchev·Truong Huu Dung·Tran Nam Son
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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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BibTeXRIS

Peter Vassilev Danchev, Truong Huu Dung, Tran Nam Son. 2023-08-31. Images of Multilinear Polynomials on Generalized Quaternion Algebras. https://arxiv.org/abs/2308.16500

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