We characterize the Lebesgue state of a free finitely generated unital lattice-ordered abelian group G in terms of its value at each element of each basis of G. This significantly strengthens one of the main results of our previous paper (co-authored by D. Mundici) with the same title as the present one. As a consequence of independent interest, we obtain a state-theoretic characterization of free finitely generated objects in the category of unital lattice-ordered abelian groups and their unit-preserving lattice-group homomorphisms.

The Lebesgue state of a unital Abelian lattice-ordered group, II / V. Marra. - In: JOURNAL OF GROUP THEORY. - ISSN 1433-5883. - 12:6(2009 Nov), pp. 911-922.

The Lebesgue state of a unital Abelian lattice-ordered group, II

V. Marra
Primo
2009

Abstract

We characterize the Lebesgue state of a free finitely generated unital lattice-ordered abelian group G in terms of its value at each element of each basis of G. This significantly strengthens one of the main results of our previous paper (co-authored by D. Mundici) with the same title as the present one. As a consequence of independent interest, we obtain a state-theoretic characterization of free finitely generated objects in the category of unital lattice-ordered abelian groups and their unit-preserving lattice-group homomorphisms.
Settore MAT/02 - Algebra
Settore MAT/01 - Logica Matematica
Settore MAT/05 - Analisi Matematica
nov-2009
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/141767
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