D. Mundici

activity

20092022

most citedClassifying orbits of the affine group over the integers

14 citations · 21 across the 24 of their papers we have counts for

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math.GR2014★ 14 cited

Classifying orbits of the affine group over the integers

L. M. Cabrer, D. Mundici

For each $n = 1, 2, \dots$ , let $GL (n, Z) ⋉ Z^{n}$ be the affine group over the integers. For every point $x = (x_{1}, \dots, x_{n}) \in R^{n}$ let $\mathrm…

math.GR2010

Finitely presented lattice-ordered abelian groups with order-unit

Leonardo Cabrer, Daniele Mundici

Let $G$ be an $ℓ$ -group (which is short for ``lattice-ordered abelian group''). Baker and Beynon proved that $G$ is finitely presented iff it is finitely generated and projectiv…

math.GR2009

Classification of finitely generated lattice-ordered abelian groups with order-unit

Manuela Busaniche, Leonardo Cabrer, Daniele Mundici

A unital $ℓ$ -group $(G, u)$ is an abelian group $G$ equipped with a translation-invariant lattice-order and a distinguished element $u$ , called order-unit, whose positive integer…