Images of Multilinear Polynomials on Generalized Quaternion Algebras
Rings and Algebras
2023-09-06 v2 Representation Theory
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.
Keywords
Cite
@article{arxiv.2308.16500,
title = {Images of Multilinear Polynomials on Generalized Quaternion Algebras},
author = {Peter Vassilev Danchev and Truong Huu Dung and Tran Nam Son},
journal= {arXiv preprint arXiv:2308.16500},
year = {2023}
}
Comments
One new section is added, namely Section 3, and thus the paper is now 18 pages