论文标题

通过线性组合求解的RADO方程

Rado equations solved by linear combinations of idempotent ultrafilters

论文作者

Baglini, Lorenzo Luperi, Arruda, Paulo Henrique

论文摘要

我们充分表征了线性组合内部的rado方程$ a_ {1} \ u \ oplus \ dots \ oplus \ oplus a_ {n} \ u $ iDempotent ultrafters $ \ u \ u \inβ\ z $ inβ\ z $,通过通过这些组合和整体组合之间的知名关系来利用β\ z $。这概括了先前由Mauro di Nasso获得的部分特征。

We fully characterise the solvability of Rado equations inside linear combinations $a_{1}\U\oplus\dots\oplus a_{n}\U$ of idempotent ultrafilters $\U\inβ\Z$ by exploiting known relations between such combinations and strings of integers. This generalises a partial characterization previously obtained by Mauro Di Nasso.

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