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Higher degrees of distributivity in $M V$ -algebras

Ján Jakubík (2003)

Czechoslovak Mathematical Journal

In this paper we deal with the of an $M V$ -algebra $𝒜$ , where $α$ and $β$ are nonzero cardinals. It is proved that if $𝒜$ is singular and $(α, 2)$ -distributive, then it is . We show that if $𝒜$ is complete then it can be represented as a direct product of $M V$ -algebras which are homogeneous with respect to higher degrees of distributivity.

Holland’s theorem for pseudo-effect algebras

Anatolij Dvurečenskij (2006)

Czechoslovak Mathematical Journal

We give two variations of the Holland representation theorem for $ℓ$ -groups and of its generalization of Glass for directed interpolation po-groups as groups of automorphisms of a linearly ordered set or of an antilattice, respectively. We show that every pseudo-effect algebra with some kind of the Riesz decomposition property as well as any pseudo $M V$ -algebra can be represented as a pseudo-effect algebra or as a pseudo $M V$ -algebra of automorphisms of some antilattice or of some linearly ordered set.

Displaying 1 – 5 of 5

Higher degrees of distributivity in $M V$ -algebras

Holland’s theorem for pseudo-effect algebras

Homogeneous lattice ordered groups

Hoops and their implicational reducts (abstract)

Hypergroupes et groupes ordonnés

Currently displaying 1 – 5 of 5

Displaying 1 – 5 of 5

Higher degrees of distributivity in M V -algebras

Holland’s theorem for pseudo-effect algebras

Homogeneous lattice ordered groups

Hoops and their implicational reducts (abstract)

Hypergroupes et groupes ordonnés

Currently displaying 1 – 5 of 5

Higher degrees of distributivity in $M V$ -algebras