«Extension-sublattice»
۹۹ نتیجهLattices with Large Minimal Extensions
This paper characterizes those finite lattices which are a maximal sublattice of an infinite lattice. There are 145 minimal lattices with this property, and a finite lattice has an infinite minimal extension if and only if it contains one of these 145 as a sublattice. In [12], I.
A structurally-consistent CASH+ sublattice solid solution model for fully hydrated C-S-H phases: Thermodynamic basis, methods, and Ca-Si-H2O core sub-model
A new thermodynamic model, CASH+, is proposed, aimed at accurately describing equilibrium composition, stability, solubility, and density of C-S-H gel-like phases varying chemical conditions. Taking advantage from recent atomistic spectroscopic studies, this sublattice solid solu
Extension of Nonadditive Measures on Locally Complete Σ-continuous Lattices
We introduce the concept of Mσ-approachability for a semicontinuous function (i.e. a nonadditive measure) on a σ-complete sublattice of a locally complete σ-continuous lattice L and using it we extend a nonadditive measure from a sublattice of L to a σ-complete sublattice of L. A
A NEW WAY TO EXTEND FUZZY IMPLICATIONS
The main purpose of this paper is to use a new way to extend fuzzy implications $I$ from a generalized sublattice $M$ to a bounded lattice $L$, such that the extended implications preserve many of the considered properties of fuzzy implications on $M$.Furthermore, as a special ca
Study of canonical extensions of BL-algebras
Canonical extensions of lattice ordered algebras provide an algebraic formulation of what is otherwise treated via topological duality or relational methods. They were firstly introduced by Jónsson and Tarski for Boolean algebras with operators (see [8] and [9]) and generalized f
Generalized Caratheodory Extension Theorem on Fuzzy Measure Space
and Applied Analysis 3 3. Main Results Throughout this paper, we will consider lattices as complete lattices,X will denote space, and μ is a membership function of any fuzzy set X. Definition 3.1. If m : σ L → R ∪ {∞} satisfies the following properties, then m is called a lattice
Superconductivity of repulsive spinless fermions with sublattice potentials
We explore unconventional superconductivity of repulsive spinless fermions on square and honeycomb lattices with staggered sublattice potentials. The two can exhibit $d$-wave $f$-wave pairing, respectively, at low doping stemming from an effective two-valley band structure. At hi
Non-properties of Canonical Extensions of Local Clones
To every locally closed clone, one can assign a larger clone in a canonical way. We examine properties of such extensions, and show that unfortunately, the most desirable properties do not hold. 1. Local clones and their canonical extensions Let X be an infinite set, denote for e
THE LATTICE OF BELNAPIAN MODAL LOGICS: Special Extensions and Counterparts
Let K be the least normal modal logic and BK its Belnapian version, which enriches K with ‘strong negation’. We carry out a systematic study of the lattice of logics containing BK based on: • introducing the classes (or rather sublattices) of so-called explosive, complete and cla
Closure Operators and Lattice Extensions
For closure operators Γ and ∆ on the same set X, we say that ∆ is a weak (resp. strong) extension of Γ if Cl(X, Γ) is a complete meet-subsemilattice (resp. complete sublattice) of Cl(X, ∆). This context is used to describe describe the extensions of a finite lattice that preserve