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A constructive proof that every 3-generated l-group is ultrasimplicial

Daniele Mundici, Giovanni Panti (1999)

Banach Center Publications

We discuss the ultrasimplicial property of lattice-ordered abelian groups and their associated MV-algebras. We give a constructive proof of the fact that every lattice-ordered abelian group generated by three elements is ultrasimplicial.

Additive closure operators on abelian unital l -groups

Filip Švrček (2006)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

In the paper an additive closure operator on an abelian unital l -group ( G , u ) is introduced and one studies the mutual relation of such operators and of additive closure ones on the M V -algebra Γ ( G , u ) .

Algebre di Łukasiewicz quasi-locali Stoneane

Francesco Lacava (2001)

Bollettino dell'Unione Matematica Italiana

We prove some properties of quasi-local Ł-algebras. These properties allow us to give a structure theorem for Stonean quasi-local Ł-algebras. With this characterization we are able to exhibit an example which provides a negative answer to the first problem posed in [4].

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