Strong Gr\"obner bases and linear algebra in multivariate polynomial rings over Euclidean domains
Expositiones Mathematicae 2024, 125627 We provide a self-contained introduction to Gr\"obner bases of submodules of $R[x_1, \ldots, x_n]^k$, where $R$ is a Euclidean domain, and explain how to use these bases to solve linear systems over $R[x_1, \ldots, x_n]$.
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | Expositiones Mathematicae 2024, 125627 We provide a self-contained introduction to Gr\"obner bases of submodules of
$R[x_1, \ldots, x_n]^k$, where $R$ is a Euclidean domain, and explain how to
use these bases to solve linear systems over $R[x_1, \ldots, x_n]$. |
|---|---|
| DOI: | 10.48550/arxiv.2406.06994 |