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We characterize the solvability of Rado equations inside linear combinations $a_{1}\mathcal{U}\oplus\dots\oplus a_{n}\mathcal{U}$ of idempotent ultrafilters $\mathcal{U}\in\beta\mathbb{Z}$ by exploiting known relations between such combinations and strings of integers. This generalizes a… Click to show full abstract
We characterize the solvability of Rado equations inside linear combinations $a_{1}\mathcal{U}\oplus\dots\oplus a_{n}\mathcal{U}$ of idempotent ultrafilters $\mathcal{U}\in\beta\mathbb{Z}$ by exploiting known relations between such combinations and strings of integers. This generalizes a partial characterization obtained by Mauro Di Nasso.
Keywords:
linear combinations;
rado equations;
solved linear;
idempotent ultrafilters;
equations solved;
combinations idempotent
Journal Title: Topology and its Applications
Year Published: 2022
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Journal Title: Topology and its Applications
Year Published: 2022
Link to full text (if available)
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recommendations!