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math.AC2024★ 1 cited
Strong Gröbner bases and linear algebra in multivariate polynomial rings over Euclidean domains
Erhard Aichinger
We provide a self-contained introduction to Gröbner bases of submodules of , where is a Euclidean domain, and explain how to use these bases to solve lin…
math.AC2016★ 1 cited
On function compositions that are polynomials
Erhard Aichinger
For a polynomial map ( a field), we investigate those polynomials that can be written as a composition $g = h \circ \mathbf…