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

collaborators

Showing 2015Show all

4 papers · 1 filter

math.RA2015★ 1 cited

Retractions of free MV-algebras and unital $ℓ$ -groups

L. M. Cabrer, D. Mundici

A number of papers deal with the problem of counting the number of retractions of a structure $S$ onto a substructure $T .$ In the particular case when $S$ is a free algebra, this n…

math.RA2015

Hopfian $ℓ$ -groups, MV-algebras and AF C $^{*}$ -algebras

Daniele Mundici

An algebra is said to be hopfian if it is not isomorphic to a proper quotient of itself. We describe several classes of hopfian and of non-hopfian unital lattice-ordered abelian gr…

math.DS2015

Classifying $GL (n, Z)$ -orbits of points and rational subspaces

Leonardo Manuel Cabrer, Daniele Mundici

We first show that the subgroup of the abelian real group $R$ generated by the coordinates of a point in $x = (x_{1}, \dots, x_{n}) \in R^{n}$ completely classifies the $\m…

math.GT2015

Fans and generators of free abelian l-groups

Daniele Mundici

Let $t_{1}, \dots, t_{n}$ be $ℓ$ -group terms in the variables $X_{1}, \dots, X_{m}$ . Let $t^_{1}, \dots, t^_{n}$ be their associated piecewise homogeneous linear functions. Let $G$ be…

Retractions of free MV-algebras and unital ℓ-groups

Hopfian ℓ-groups, MV-algebras and AF C∗-algebras

Classifying GL(n,Z)-orbits of points and rational subspaces

Fans and generators of free abelian l-groups

Retractions of free MV-algebras and unital $ℓ$ -groups

Hopfian $ℓ$ -groups, MV-algebras and AF C $^{*}$ -algebras

Classifying $GL (n, Z)$ -orbits of points and rational subspaces