Displaying similar documents to “Products in almost f -algebras”

The triadjoint of an orthosymmetric bimorphism

Mohamed Ali Toumi (2010)

Czechoslovak Mathematical Journal

Similarity:

Let A and B be two Archimedean vector lattices and let ( A ' ) n ' and ( B ' ) n ' be their order continuous order biduals. If Ψ : A × A → B is a positive orthosymmetric bimorphism, then the triadjoint Ψ * * * : ( A ' ) n ' × ( A ' ) n ' → ( B ' ) n ' of Ψ is inevitably orthosymmetric. This leads to a new and short proof of the commutativity of almost f -algebras.

On algebra homomorphisms in complex almost f -algebras

Abdelmajid Triki (2002)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

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.

Annihilators in BCK-algebras

Radomír Halaš (2003)

Czechoslovak Mathematical Journal

Similarity:

We introduce the concepts of an annihilator and a relative annihilator of a given subset of a BCK-algebra 𝒜 . We prove that annihilators of deductive systems of BCK-algebras are again deductive systems and moreover pseudocomplements in the lattice 𝒟 ( A ) of all deductive systems on 𝒜 . Moreover, relative annihilators of C ∈ 𝒟 ( A ) with respect to B ∈ 𝒟 ( A ) are introduced and serve as relative pseudocomplements of C w.r.t. B in 𝒟 ( A ) .