Salvato in:
| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2312.01750 |
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Sommario:
- Let $k$ be a field of arbitrary characteristic, $A$ be a domain and $K=\mathrm{frac}(A)$. Then (1) All exponential maps of $k^{[3]}$ are rigid, and we give a necessary and sufficient condition for the triangularity of $δ\in \mathrm{EXP}(k^{[3]})$. (2) If $δ\in \mathrm{EXP}(A^{[3]})$ such that $\mathrm{rank}(δ)=\mathrm{rank}(δ_K)$, then $δ$ is rigid and we give a necessary and sufficient condition for the triangularity of $δ$. When $k$ is of zero characteristic, $(1)$ is due to \cite{DD} and $(2)$ is due to \cite{KL}.