a free lattice is the free object corresponding to a lattice. As free objects, they have the universal property. Because the concept of a lattice can...

A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered...

complete lattice is a partially ordered set in which all subsets have both a supremum (join) and an infimum (meet). A conditionally complete lattice satisfies...

In mathematics, a distributive lattice is a lattice in which the operations of join and meet distribute over each other. The prototypical examples of such...

Look up lattice in Wiktionary, the free dictionary. Lattice may refer to: Latticework, an ornamental criss-crossed framework, an arrangement of crossing...

can be summarized by saying that a lattice is a Delone set. More abstractly, a lattice can be described as a free abelian group of dimension n {\displaystyle...

group free partially commutative group free Kleene algebra free lattice free Boolean algebra free distributive lattice free Heyting algebra free modular...

In Lie theory and related areas of mathematics, a lattice in a locally compact group is a discrete subgroup with the property that the quotient space...

the free Heyting algebra). The word problem on free lattices and more generally free bounded lattices has a decidable solution. Bounded lattices are algebraic...

Bethe lattice (also called a regular tree) is an infinite symmetric regular tree where all vertices have the same number of neighbors. The Bethe lattice was...

potential inside the lattice. It is a generalization of the free electron model, which assumes zero potential inside the lattice. When talking about solid...

In computer science, lattice problems are a class of optimization problems related to mathematical objects called lattices. The conjectured intractability...

congruence lattice problem asks whether every algebraic distributive lattice is isomorphic to the congruence lattice of some other lattice. The problem...

In the branch of mathematics called order theory, a modular lattice is a lattice that satisfies the following self-dual condition, Modular law a ≤ b implies...

of two states (+1 or −1). The spins are arranged in a graph, usually a lattice (where the local structure repeats periodically in all directions), allowing...

Z; Pavel, N I (2010-09-27). "Scale-free network topology and multifractality in a weighted planar stochastic lattice". New Journal of Physics. 12 (9):...

A lattice is a partially ordered set that is both a meet- and join-semilattice with respect to the same partial order. Algebraically, a lattice is a...

In the same way the Bravais lattice is divided up into Wigner–Seitz cells in the real lattice, the reciprocal lattice is broken up into Brillouin zones...

fundamental domain for the lattice be 1. The E8 lattice and the Leech lattice are two famous examples. A lattice is a free abelian group of finite rank...

theory of lattices, the dual lattice is a construction analogous to that of a dual vector space. In certain respects, the geometry of the dual lattice of a...

{\displaystyle R} -module with basis X {\displaystyle X} . free group free lattice tensor algebra free category, adjoint to the forgetful functor from categories...

In chemistry, the lattice energy is the energy change (released) upon formation of one mole of a crystalline compound from its infinitely separated constituents...

Lattice QCD is a well-established non-perturbative approach to solving the quantum chromodynamics (QCD) theory of quarks and gluons. It is a lattice gauge...

A lattice tower or truss tower is a freestanding vertical framework tower. This construction is widely used in transmission towers carrying high-voltage...

interval within this lattice is self-dual. The lattice of noncrossing partitions plays the same role in defining free cumulants in free probability theory...

almost freely through the crystal lattice of a solid. The model is closely related to the more conceptual empty lattice approximation. The model enables...

concept holds for free lattices. The free lattice in three generators is countably infinite. It has, as a sublattice, the free lattice in four generators...

is an American mathematician who contributed to lattice theory, particularly the theory of free lattices. Living in Pittsburgh, he attended the Haverford...

non-interacting free electrons that move through a crystal lattice. The energy of the electrons in the "empty lattice" is the same as the energy of free electrons...

by universal properties include: all free objects, direct products and direct sums, free groups, free lattices, Grothendieck group, completion of a metric...