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Polynomial Identities with Involution for the Algebra of 3 $\Times$ 3 Upper Triangular Matrices by Gonçalves, Dimas J.; Silva, Dalton C. is a scholarly article available to read on EtoBox.

What is Polynomial Identities with Involution for the Algebra of 3 $\Times$ 3 Upper Triangular Matrices about?

Let $\mathbb{F}$ be a field of characteristic $p$, and let $UT_n(\mathbb{F})$ be the algebra of $n \times n$ upper triangular matrices over $\mathbb{F}$ with an involution of the first kind. In this paper we describe: the set of all $*$-central polynomials for $UT_n(\mathbb{F})$ when $n\geq 3$ and $p\neq 2$ ; the set of all $*$-polynomial identities for $UT_3(\mathbb{F})$ when $\mathbb{F}$ is infinite and $p>2$.

Author

Gonçalves, Dimas J.; Silva, Dalton C.

Published

2020

Language

EN