Distributive lattices with strong endomorphism kernel property as direct sums
نویسندگان
چکیده
منابع مشابه
Direct Product Decompositions of Infinitely Distributive Lattices
Let α be an infinite cardinal. Let Tα be the class of all lattices which are conditionally α-complete and infinitely distributive. We denote by T ′ σ the class of all lattices X such that X is infinitely distributive, σ-complete and has the least element. In this paper we deal with direct factors of lattices belonging to Tα. As an application, we prove a result of Cantor-Bernstein type for latt...
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Let A =< A,≤A> and B =< B,≤B> be lattices such that A ∩ B is a filter in A and an ideal in B, and the orderings ≤A and ≤B coincide on A ∩ B. Then ≤A ∪ ≤B ∪ (≤A ◦ ≤B), is a lattice ordering on A ∪ B and the resulting lattice, called a sum of A and B, is denoted by A ⊕ B. The sum operation was introduced by Wroński [5], and its special case with A∩B = {1A} = {0B} by Troelstra [4]. In particular, ...
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In a mediator system based on annotated logics it is a suitable requirement to allow annotations from diierent lattices in one program on a per-predicate basis. These lattices however may be related through common sublattices, hence demanding predicates which are able to carry combinations of annotations, or access to components of annotations. We show both demands to be satisiiable by using va...
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ژورنال
عنوان ژورنال: Categories and General Algebraic Structures with Application
سال: 2020
ISSN: 2345-5853,2345-5861
DOI: 10.29252/cgasa.13.1.45