Results 231 to 240 of about 253,648 (268)

Lattices of Games

Order, 2011
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Michael Henry Albert, Richard J. Nowakowski   +1 more
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Lattices of lattice homomorphisms

Algebra Universalis, 1978
IfL andM are lattices, Hom (L, M) denotes the set of homomorphisms ofL intoM with the pointwise partial order.L is calledcatalytic if Hom (L, M) is a lattice for every latticeM. Among other results, it is shown that every retract of a lattice completely freely generated by a partially ordered set is catalytic, and that every catalytic lattice is ...
Kucera, T. G., Sands, B.
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Isometrical Embeddings of Lattices into Geometric Lattices

Order, 2012
Embedding lattices into geometric lattices gained substantial interest since the fundamental result of Dilworth on finite lattices. The nice paper under review elaborates on Dilworth's approach and shows that an algebraic lattices endowed with a pseudorank function and having all compact elements of finite height does admit an isometric embedding into ...
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Congruence Lattices of Finite Lattices as Concept Lattices

1990
In formal concept analysis it is of increasing interest to compute and to represent congruence lattices of finite lattices (for instance, to assist adequate drawings of concept lattices). In this note we give a representation of such congruence lattices as concept lattices which allows the use of developed computer programs to determine and to draw ...
Sigrid Knecht, Rudolf Wille
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Suslin Lattices

Order, 2013
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Dilip Raghavan, Teruyuki Yorioka
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On Lattices of Uniformities

Order, 2007
The author studies lattice-theoretical properties of lattices of uniformities, such as modularity, distributive laws and the existence of (relative) complements. In these investigations the concept of permutable uniformities turns out to be useful: Two uniformities \(u,v\) on a set \(X\) are said to be permutable if \(v\circ u = u\circ v\) where \(u ...
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On the Congruence Lattice of a Lattice

1990
Let L be a lattice. It is proved in N. Funayama and T. Nakayama [10] that the congruence lattice of L is distributive.
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Viscous Lattices

Journal of Mathematical Imaging and Vision, 2005
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On the sublattice-lattice of a lattice

Algebra Universalis, 1984
A property P of algebras in any variety V might be called S-determined if when A has P and A, A' have isomorphic lattices of subalgebras. A' has P; S-sharp if the same conditions imply \(A'=F(A)\) for some automorphism F of V. The authors show that being a pseudocomplemented lattice of finite length is S-determined, and produce two new S-sharp ...
Chen, C.C., Koh, K.M., Teo, K.L.
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On the sublattice-lattices of lattices

Publicationes Mathematicae Debrecen, 1998
For a lattice \(L\), let \(\text{Sub}(L)\) denote the lattice of all sublattices of \(L\), and \(L^d\) the dual of \(L\). If \(L\) and \(K\) are lattices and \(L\approx K\) or \(L\approx K^d\), then \(\text{Sub}(L)\approx \text{Sub}(K)\). The converse in not true in general. The scope of this paper is to prove that if \(L\) and \(K\) are lattices with \
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