Results 251 to 260 of about 166,239,348 (277)

A representation theory for orthomodular lattices by means of closure spaces

Acta Mathematica Hungarica, 1986
The author carries on her project of representation theory for orthomodular lattices. By central-ultrafilters-technique she finds a closure space representation theorem and analyzes the corresponding duality. As she proves then, this orthomodular lattice duality extends the Stone duality for Boolean algebras.
exaly   +3 more sources

A topological representation theory for lattices

Algebra Universalis, 1978
Alasdair Urquhart
exaly   +3 more sources

Representation of lattices via set-colored posets

Discrete Applied Mathematics, 2018
International audienceThis paper proposes a representation theory for any finite lattice via set-colored posets, in the spirit of Birkhoff for distributive lattices.
Michel Habib, Lhouari Nourine
exaly   +2 more sources

Analytical Representation of Solutions to Lattice-Hole Theory

Macromolecular Theory and Simulations, 2001
The Simha and Somcynsky (S-S) lattice-hole theory has been shown to represent accurately the pressure-volume-temperature (PVT) surface of chain molecular melts and their mixtures. Proceeding beyond its original intent, it has led to correlations with other properties and extension into the steady state and relaxing glass. The equilibrium results appear
Leszek A. Utracki, Robert Simha
openaire   +1 more source

Hamiltonian lattice gauge theories in a loop-dependent magnetic representation

Physical Review D, 1989
We formulate the U(1) and SU(2) lattice Hamiltonians in a loop-dependent magnetic basis. The formulation is gauge invariant and leads to a differential Schroedinger equation whose variables are angles associated with an independent set of closed contours in the lattice.
, Di Bartolo C, , Gambini, , Leal
openaire   +2 more sources

Congruences, equational theories and lattice representations

Periodica Mathematica Hungarica, 1996
This paper is an interesting survey, concerning the representation of lattices as lattices of congruences and as lattices of equational theories. For an algebra \(A\), \(\text{Con}(A)\) is the lattice of congruence relations, \(\text{Eq}(A)\) the lattice of equivalence relations on \(A\).
openaire   +2 more sources

The application of two integral representations of the derivative in the theory of lattices

Soviet Applied Mechanics, 1971
Kiev Automobi l e -Highway Inst i tute, Kiev. T r a n s l a t e d f r o m P r i k l a d n a y a Mekhanika, Vol. 7, No. 8, pp. 77-82, August , 1971. Original a r t i c l e submi t ted May 12, 1970. 9 I974 Consultants Bureau, a division of Plenum Publishing Corporation, 227 g/est 17th Street, New York, N. Y. 10011.
P. M. Varvak, M. Sh. Varvak
openaire   +1 more source

Boson representation and bound states in lattice gauge theory

Physical Review D, 1982
We study the spectrum and the scattering processes of glueball excitations of U(1) lattice gauge theory in 2+1 dimensions. To get a glueball description we rewrite the Hamiltonian successively by introducing several sets of variables, such as fermionic loop fields, canonical boson fields, and composite fields.
openaire   +1 more source

SU(2) LATTICE GAUGE THEORY IN THE ELECTRIC-FIELD REPRESENTATION

International Journal of Modern Physics A, 1988
Hamiltonian SU(2) lattice gauge theory is formulated in an orthonormal and complete set of gauge-invariant eigenstates of the color-electric energy (electric-field basis). For a three-dimensional cubic lattice of linear extension L, these states are labeled by 6L3 quantum numbers: one gauge angular momentum for every link and three additional angular ...
J. PIEKAREWICZ, M.R. ZIRNBAUER, S.E. KOONIN   +2 more
openaire   +1 more source

Lattice gauge theory with Higgs matter field in the adjoint representation

Physical Review D, 1984
The gauge Higgs-field system is studied both in the mean-field approximation and with a Monte Carlo simulation. We compare our results to those obtained by other authors and we comment on the relevance of these results to the problem of the finite-temperature deconfinement in pure gauge theory.
J. M. Drouffe, J. Jurkiewicz, A. Krzywicki   +2 more
openaire   +1 more source