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On algebra homomorphisms in complex almost f -algebras

Abdelmajid Triki (2002)

Commentationes Mathematicae Universitatis Carolinae

Extensions of order bounded linear operators on an Archimedean vector lattice to its relatively uniform completion are considered and are applied to show that the multiplication in an Archimedean lattice ordered algebra can be extended, in a unique way, to its relatively uniform completion. This is applied to show, among other things, that any order bounded algebra homomorphism on a complex Archimedean almost f -algebra is a lattice homomorphism.

On cut completions of abelian lattice ordered groups

Ján Jakubík (2000)

Czechoslovak Mathematical Journal

We denote by F a the class of all abelian lattice ordered groups H such that each disjoint subset of H is finite. In this paper we prove that if G ∈ F a , then the cut completion of G coincides with the Dedekind completion of G .

On free M V -algebras

Ján Jakubík (2003)

Czechoslovak Mathematical Journal

In the present paper we show that free M V -algebras can be constructed by applying free abelian lattice ordered groups.

Currently displaying 101 – 120 of 243