Results 1 to 10 of about 39,258 (197)
Exact Expressions of Spin-Spin Correlation Functions of the Two-Dimensional Rectangular Ising Model on a Finite Lattice [PDF]
We employ the spinor analysis method to evaluate exact expressions of spin-spin correlation functions of the two-dimensional rectangular Ising model on a finite lattice, special process enables us to actually carry out the calculation process.
Tao Mei
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On quasi-identities of finite modular lattices. II [PDF]
The existence of a finite identity basis for any finite lattice was established by R. McKenzie in 1970, but the analogous statement for quasi-identities is incorrect.
A.O. Basheyeva, S.M. Lutsak
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Investigation of periodic resonators as wave barriers for mitigating surface seismic waves using Bloch-Floquet theory [PDF]
Every year around the world, earthquakes and other seismic waves cause damage to civil infrastructures. The most harmful waves for civil infrastructure are surface waves, as this study focused on it. Therefore, this study aims to investigate the behavior
Sh. Amanat, R. Rafiee Dehkharghani
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On quasi-identities of finite modular lattices
In 1970 R. McKenzie proved that any finite lattice has a finite basis of identities. However the similar result for quasi-identities is not true. That is there is a finite lattice that has no finite basis of quasi-identities.
S. Lutsak, O. Voronina, G. Nurakhmetova
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Some non-standard quasivarieties of lattices [PDF]
The questions of the standardness of quasivarieties have been investigated by many authors. The problem "Which finite lattices generate a standard topological prevariety?" was suggested by D.M. Clark, B.A. Davey, M.G. Jackson and J.G. Pitkethly in 2008.
S.M. Lutsak +3 more
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Embedding Finite Lattices into Finite Biatomic Lattices [PDF]
For a class C of finite lattices, the question arises whether any lattice in C can be embedded into some atomistic, biatomic lattice in C. We provide answers to the question above for C being, respectively, --The class of all finite lattices; --The class of all finite lower bounded lattices (solved by the first author's earlier work).
Adaricheva, Kira, Wehrung, Friedrich
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Finitely Presented Lattices [PDF]
It is shown that the generalized word problem for lattices is solvable. Moreover, one can recursively decide if two finitely presented lattices are isomorphic. It is also shown that the automorphism group of a finitely presented lattice is finite.
Freese, Ralph, Nation, J. B.
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Automorphism groups of some variants of lattices
In this paper we consider variants of the power set and the lattice of subspaces and study automorphism groups of these variants. We obtain irreducible generating sets for variants of subsets of a finite set lattice and subspaces of a finite vector space
O.G. Ganyushkin, O.O. Desiateryk
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LATTICE UNIVERSALITY OF LOCALLY FINITE \(p\)-GROUPS
For an arbitrary prime \(p\), we prove that every algebraic lattice is isomorphic to a complete sublattice in the subgroup lattice of a suitable locally finite \(p\)-group.
Vladimir B. Repnitskiǐ
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Finite four-generated simple lattices contain all finite lattices [PDF]
Every finite lattice is embeddable in a finite, four-generated, simple lattice.
Poguntke, Werner, Rival, Ivan
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