منابع مشابه
Generalized Almost Distributive Lattices-I
The concept of a GADL as a generalization of an ADL is introduced. Necessary and sufficient conditions for a GADL to become a distributive lattice and a GADL to become an ADL are obtained. We also study the maximal sets in a GADL and give equivalent conditions for a GADL to become a distributive lattice in terms of maximal
متن کاملTotal graph of a $0$-distributive lattice
Let £ be a $0$-distributive lattice with the least element $0$, the greatest element $1$, and ${rm Z}(£)$ its set of zero-divisors. In this paper, we introduce the total graph of £, denoted by ${rm T}(G (£))$. It is the graph with all elements of £ as vertices, and for distinct $x, y in £$, the vertices $x$ and $y$ are adjacent if and only if $x vee y in {rm Z}(£)$. The basic properties of the ...
متن کاملDistributive Lattice-Structured Ontologies
In this paper we describe a language and method for deriving ontologies and ordering databases. The ontological structures arrived at are distributive lattices with attribution operations that preserve ∨, ∧ and ⊥. The preservation of ∧ allows the attributes to model the natural join operation in databases. We start by introducing ontological frameworks and knowledge bases and define the notion ...
متن کاملThe Space of Prime α-Ideals of an Almost Distributive Lattice
The hull kernel topology on the set of all prime α-ideals of an ADL is introduced. Many properties of this space are studied. Using the topological properties of the space of prime α-ideals various equivalent conditions for an ADL to be a -ADL are furnished. Mathematics Subject Classification: 06D99
متن کاملRelative Annihilators in Almost Distributive Lattices
Some properties of relative annihilators are studied in Almost Distributive Lattices (ADLs). Prime ideal conditions on ADLs are investigated in connection with the relative annihilators. The concept of Boolean congruences is introduced and characterized in terms of relative annihilators. Copyright c © 2011 Yang’s Scientific Research Institute, LLC. All rights reserved.
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ژورنال
عنوان ژورنال: Bulletin of the Section of Logic
سال: 2018
ISSN: 2449-836X,0138-0680
DOI: 10.18778/0138-0680.47.3.03