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The Waring problem for upper triangular matrix algebras

Part of: Rings and algebras arising under various constructions Rings with polynomial identity

Published online by Cambridge University Press:  17 April 2024

Qian Chen  and
Yu Wang
Qian Chen
Affiliation:
School of Mathematics and Statistics, Xiamen University of Technology, Xiamen 361024, China e-mail: qianchen0505@163.com
Yu Wang*
Affiliation:
Department of Mathematics, Shanghai Normal University, Shanghai 200234, China
*
e-mail: ywang2004@126.com
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Abstract

Our goal of the paper is to investigate the Waring problem for upper triangular matrix algebras, which gives a complete solution of a conjecture proposed by Panja and Prasad in 2023.

Keywords

Waring’s problempolynomialupper triangular matrix algebrainfinite field

MSC classification

Primary: 16R10: $T$-ideals, identities, varieties of rings and algebras 16S50: Endomorphism rings; matrix rings
Type
Article
Information
Canadian Journal of Mathematics , Volume 77 , Issue 4 , August 2025 , pp. 1398 - 1424
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Canadian Mathematical Society

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