Hereditary radical classes of linearly ordered groups
“Hidden variables” on concrete logics (extensions)
Higher degrees of distributivity in -algebras
In this paper we deal with the of an -algebra , where and are nonzero cardinals. It is proved that if is singular and -distributive, then it is . We show that if is complete then it can be represented as a direct product of -algebras which are homogeneous with respect to higher degrees of distributivity.
Hilbert algebras as implicative partial semilattices
The infimum of elements a and b of a Hilbert algebra are said to be the compatible meet of a and b, if the elements a and b are compatible in a certain strict sense. The subject of the paper will be Hilbert algebras equipped with the compatible meet operation, which normally is partial. A partial lower semilattice is shown to be a reduct of such an expanded Hilbert algebra i ?both algebras have the same ?lters.An expanded Hilbert algebra is actually an implicative partial semilattice (i.e., a relative...
Hilbert algebras of fractions.
Hilbert-space-valued measures on Boolean algebras (extensions).
Hilbert-space-valued states on quantum logics
Historic forcing for Depth
We show that, consistently, for some regular cardinals θ <λ, there exists a Boolean algebra 𝔹 such that |𝔹| = λ⁺ and for every subalgebra 𝔹'⊆ 𝔹 of size λ⁺ we have Depth(𝔹') = θ.
Holland’s theorem for pseudo-effect algebras
We give two variations of the Holland representation theorem for -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 -algebra can be represented as a pseudo-effect algebra or as a pseudo -algebra of automorphisms of some antilattice or of some linearly ordered set.
Homeomorphisms of products of Boolean separable spaces
Homogeneous lattice ordered groups
Homogeneous lattices and lattice-ordered groups
Homomorphisms between complete chains and the independence of the axioms of limitoid
Homomorphisms of contexts and isomorphisms of concept lattices
Homomorphisms of direct powers of algebras
Homomorphisms of direct products of algebras
Homomorphisms of implicative semigroups.
Homotopy and homology of finite lattices.
Hoops and their implicational reducts (abstract)
Hopfian and co-Hopfian objects.
The aim of the present paper is to study Hopfian and Co-Hopfian objects in categories like the category of rings, the module categories A-mod and mod-A for any ring A. Using Stone's representation theorem any Boolean ring can be regarded as the ring A of clopen subsets of compact Hausdorff totally disconnected space X. It turns out that the Boolean ring A will be Hopfian (resp. co-Hopfian) if and only if the space X is co-Hopfian (resp. Hopfian) in the category Top. For any compact Hausdorff space...