Prathomjit Khachorncharoenkul, Sajee Pianskool
Abstract
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Let $H_{n}(\mathbb{F})$ be the space of all $n\times n$ upper Hessenberg matrices over a field~$\mathbb{F}$, where $n$ is a positive integer greater than two. In this paper, surjective additive maps preserving rank-$1$ on $H_{n}(\mathbb{F})$ are characterized.
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Let $H_{n}(\mathbb{F})$ be the space of all $n\times n$ upper Hessenberg matrices over a field~$\mathbb{F}$, where $n$ is a positive integer greater than two. In this paper, surjective additive maps preserving rank-$1$ on $H_{n}(\mathbb{F})$ are characterized.
Key concepts: Surjective function, Mathematics, Rank (graph theory), Integer (computer science), Combinatorics, Field (mathematics), Space (punctuation), Pure mathematics