On Co Distributive Pair and Dually Co Distributive Pair in a Lattice
نویسندگان
چکیده
منابع مشابه
Total 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 کاملReimer's Inequality on a Finite Distributive Lattice
We generalize Reimer’s Inequality [6] (a.k.a the BKR Inequality or the van den Berg–Kesten Conjecture [1]) to the setting of finite distributive lattices. (MSC 60C05)
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 کاملOn the Distributive and Non-Distributive Interpretation in Japanese
Through an analysis of two different types of floating numeral quantifier (FNQ) constructions in Japanese, the present paper investigates the distributive and non-distributive interpretation in Japanese. Discussion of the interpretative issues related to ambiguity and intonation has indicated that FNQs are potentially ambiguous, offering both distributive and non-distributive readings.
متن کاملJi-distributive Dually Quasi-de Morgan Linear Semi-heyting Algebras
The main purpose of this paper is to axiomatize the join of the variety DPCSHC of dually pseudocomplemented semi-Heyting algebras generated by chains and the variety generated by D2, the De Morgan expansion of the four element Boolean Heyting algebra. Toward this end, we first introduce the variety DQDLNSH of dually quasi-De Morgan linear semi-Heyting algebras defined by the linearity axiom and...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IOSR Journal of Mathematics
سال: 2012
ISSN: 2319-765X,2278-5728
DOI: 10.9790/5728-0141215