Strong truncations and Maximal Ideal Principles

Karim Boulabiar; Mohamed Habibi

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arXiv · 2606.10202

Strong truncations and Maximal Ideal Principles

Karim Boulabiar·Mohamed Habibi

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Abstract

We compare two existence principles for maximal ideals, a classical one for vector lattices with a strong unit and a second, newly introduced one for vector lattices with a strong truncation. Although the latter strictly generalizes the former, we show that the two statements are equivalent over ZF set theory.

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Karim Boulabiar, Mohamed Habibi. 2026-06-08. Strong truncations and Maximal Ideal Principles. https://arxiv.org/abs/2606.10202

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