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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Showing math.RAShow 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.RA2014

The Euler valuation on MV-algebras

Daniele Mundici, Andrea Pedrini

Every finitely presented MV-algebra A has a unique idempotent valuation E assigning value 1 to every basic element of A. For each element a of A, E(a) turns out to coincide with th…

math.RA2013

Severi-Bouligand tangents, Frenet frames and Riesz spaces

Leonardo Manuel Cabrer, Daniele Mundici

It was recently proved that a compact set $X \subseteq R^{2}$ has an outgoing Severi-Bouligand tangent vector $u \neq = 0$ at $x \in X$ iff some principal ideal of the Riesz space…

Retractions of free MV-algebras and unital ℓ-groups

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

The Euler valuation on MV-algebras

Severi-Bouligand tangents, Frenet frames and Riesz spaces

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

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