Eran Alouf

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20172024

most citedA new dp-minimal expansion of the integers

11 citations · 11 across the 4 of their papers we have counts for

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Showing 2024 · math.LOShow all

2 papers · 2 filters

math.LO2024

Stable reducts of elementary extensions of Presburger arithmetic

Eran Alouf, Antongiulio Fornasiero, Itay Kaplan

Suppose $N$ is elementarily equivalent to an archimedean ordered abelian group $(G, +, <)$ with small quotients (for all $1 \leq n < ω$ , $[G : n G]$ is finite). Then every stable reduc…

math.LO2024

On dp-minimal expansions of the integers II

Eran Alouf

We first prove that if $Z$ is a dp-minimal expansion of $(Z, +, 0, 1)$ which is not interdefinable with $(Z, +, 0, 1, <)$ , then every inf…