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 …
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 …
… relation, characterizations of distributive and strong lattices by properties of this relation and …
Representing lattices using many-valued relations
… -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. …
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-…
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. …
of weakly complementedness. This is a solution of the most natural generalization of G. …
Lattice-based zero-knowledge arguments for integer relations
… 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 \(L=\mathsf {poly}(n…
c}_z\) 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 …
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, …
… 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 …
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 …
relation … Let 9Í be an arbitrary quasilattice. By Lemma 3, 91 is the sum of a direct system of …
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