On the representation of lattices

B Jónsson - Mathematica Scandinavica, 1953 - JSTOR
… kind of representation applicable to arbitrary modular lattices. Modifying slightly the …
relations over a set U is a lattice. Here lattice-inclusion coincides with set-inclusion and lattice

On a dependence relation in finite lattices

B Monjardet, N Caspard - Discrete Mathematics, 1997 - Elsevier
… We are interested to know when the dependence relation of an arbitrary (finite) lattice is - or
relation, characterizations of distributive and strong lattices by properties of this relation and …

Representing lattices using many-valued relations

A Gély, R Medina, L Nourine - Information Sciences, 2009 - Elsevier
… -valued relations might have the same associated lattice, we … many-valued relation that can
be associated to a lattice. We … a minimal relation from either a lattice or an arbitrary relation. …

[PDF][PDF] On some ternary relations in lattices

R Padmanabhan - Colloquium Mathematicum, 1966 - infona.pl
… In this note (1) we consider the interrelations among these ternary relations and discuss …
this as the definition of betweenness in arbitrary lattices. The relations 0 and C" which are non-…

[PDF][PDF] Ideals and congruence relations in lattices

G Grātzer, ET Schmidt - Acta Math. Acad. Sci. Hung., 1958 - researchgate.net
… Now we show that this theorem is valid for arbitrary lattices with the above defined notion
of weakly complementedness. This is a solution of the most natural generalization of G. …

Lattice-based zero-knowledge arguments for integer relations

B Libert, S Ling, K Nguyen, H Wang - Annual International Cryptology …, 2018 - Springer
… standard lattice assumptions, that large committed integers satisfy certain algebraic relations
c}_z\) are commitments to integers X, Y, Z of arbitrary polynomial bit-size \(L=\mathsf {poly}(n…

A general dependence relation for lattices

DT Finkbeiner - Proceedings of the American Mathematical Society, 1951 - JSTOR
arbitrary lattice in a semi-modular lattice. However, the usual method of imbedding by means
of dependence relations … to formulate the properties a dependence relation must have if the …

Similarity relations in concept lattices

R Belohlavek - Journal of logic and computation, 2000 - ieeexplore.ieee.org
… issue of similarity relations in fuzzy concept lattices. Fuzzy concepts and fuzzy concept lattices
… T on (G, M, I) is said to be compatible if it is preserved under arbitrary suprema and infima, …

Representations of lattices by sets

G Birkhoff, O Frink - Transactions of the American Mathematical Society, 1948 - JSTOR
… representation of a lattice by sets of dual ideals shall preserve arbitrary meets or arbitrary joins
of … We now point out the relation of our results to his. Recall from ?3 that an element a of a …

Regular identities in lattices

R Padmanabhan - Transactions of the American Mathematical Society, 1971 - ams.org
… a quasilattice if both + and are semilattice operations in A such that the natural partial order
relation … Let 9Í be an arbitrary quasilattice. By Lemma 3, 91 is the sum of a direct system of …