Projectable kernel of a lattice ordered group
نویسندگان
چکیده
منابع مشابه
Lattice of compactifications of a topological group
We show that the lattice of compactifications of a topological group $G$ is a complete lattice which is isomorphic to the lattice of all closed normal subgroups of the Bohr compactification $bG$ of $G$. The correspondence defines a contravariant functor from the category of topological groups to the category of complete lattices. Some properties of the compactification lattice of a topological ...
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In the present note we characterize finite lattices which are isomorphic to the congruence lattice of an abelian lattice ordered group.
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The category, or class of algebras, in the title is denoted by $bf W$. A hull operator (ho) in $bf W$ is a reflection in the category consisting of $bf W$ objects with only essential embeddings as morphisms. The proper class of all of these is $bf hoW$. The bounded monocoreflection in $bf W$ is denoted $B$. We classify the ho's by their interaction with $B$ as follows. A ``word'' is a function ...
متن کاملon fuzzy convex lattice-ordered subgroups
in this paper, the concept of fuzzy convex subgroup (resp. fuzzy convex lattice-ordered subgroup) of an ordered group (resp. lattice-ordered group) is introduced and some properties, characterizations and related results are given. also, the fuzzy convex subgroup (resp. fuzzy convex lattice-ordered subgroup) generated by a fuzzy subgroup (resp. fuzzy subsemigroup) is characterized. furthermore,...
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 1982
ISSN: 0137-6934,1730-6299
DOI: 10.4064/-9-1-105-112