نتایج جستجو برای: compact lattice
تعداد نتایج: 183230 فیلتر نتایج به سال:
The set of all transformation monoids on a fixed set of infinite cardinality λ, equipped with the order of inclusion, forms a complete algebraic lattice Mon(λ) with 2 compact elements. We show that this lattice is universal with respect to closed sublattices, i.e., the closed sublattices of Mon(λ) are, up to isomorphism, precisely the complete algebraic lattices with at most 2 compact elements....
The clone lattice Cl(X) over an infinite set X is a complete algebraic lattice with 2 compact elements. We show that every algebraic lattice with at most 2 compact elements is a complete sublattice of Cl(X). 1. How complicated is the clone lattice? Fix a base set X and denote for all n ≥ 1 the set of all n-ary operations on X by O(n). Then O = ⋃ n≥1 O (n) is the set of all functions on X which ...
We study two models for the formation and packing of helices and sheets in globular (compact) proteins. These models, based on weighted Hamiltonian paths on a regular lattice both exhibit a first order transition between a compact high temperature phase, with no extended secondary structures, and a quasi-frozen compact phase, with secondary structures invading the whole lattice. The quasi-froze...
We consider a directed compact site lattice animal problem on the d-dimensional hypercubic lattice, and establish its equivalence with (i) the infinite-state Potts model and (ii) the enumeration of sd 2 1ddimensional restricted partitions of an integer. The directed compact lattice animal problem is solved exactly in d 2, 3 using known solutions of the enumeration problem. The maximum number ...
In this paper, we introduce the concept of linear v{C}ech closure spaces and establish the properties of open sets in linear v{C}ech closure spaces (Lv{C}CS). Here, we observe that the concept of linearity is preserved by semi-open sets, g-semi open sets, $gamma$-open sets, sgc-dense sets and compact sets in Lv{C}CS. We also discuss the concept of relative v{C}ech closure operator, meet and pro...
A strongly closed lattice of projections on a Hubert space is compact if the associated algebra of operators has a weakly dense subset of compact operators. If the lattice is commutative, there are necessary and sufficient conditions for compactness, one in terms of the structure of the lattice, and the other in terms of a measure on the lattice. There are many examples of compact lattices, and...
We prove that every distributive algebraic lattice with at most א1 compact elements is isomorphic to the normal subgroup lattice of some group and to the submodule lattice of some right module. The א1 bound is optimal, as we find a distributive algebraic lattice D with א2 compact elements that is not isomorphic to the congruence lattice of any algebra with almost permutable congruences (hence n...
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