Add to ORKGIn [1; Problem 43] G. Birkhoff called for a description of the modular lattice FM(B) freely generated by four elements a, b, c, and d satisfying a+d = b+c = I and ad = bc = 0. Examples of subdirectly irreducible factors (as it turns out all of them) are provided in the paper [2] of A. Day, R. Wille et al.. There the modular lattice 14-- FM(J) freely generated by elements a,b,c,d subject to the relations ab = ac = ad
In this paper, we describe all modular and distributive lattices which are isomorphic to the congrue...
In [4] we gave a construction of inherently nonfinitely based lattices which produced a wide variety...
De La Maza, A.C. (reprint author). Instituto de Matematica y Fisica, Universidad de Talca. Casilla 7...
In lattice theory the two well known equational class of lattices are the distributive lattices and ...
Abstract. In 1968, E. T. Schmidt introduced the M3[D] construction, an extension of the five-element...
Let A ∈ Zm×n be an integral matrix and a, b, c ∈ Z satisfy a ≥ b ≥ c ≥ 0. The question is to recogni...
In the paper we investigate Birkhoff’s conditions (Bi) and (Bi*). We prove that a discrete lattice L...
International audienceIn 1968, E. T. Schmidt introduced the M_3[D] construction, an extension of the...
AbstractLeft-modularity is a concept that generalizes the notion of modularity in lattice theory. In...
Abstract. We give several new lattice identities valid in nonmodular lat-tices such that a uniquely ...
We give several new lattice identities valid in nonmodular lattices such that a uniquely complemente...
AbstractGiven a finite lattice L, let J(L) (M(L)) denote the set of nonzero join irreducible (nonuni...
Abstract. We give several new lattice identities valid in nonmodular lattices such that a uniquely c...
It is well known by analysts that a concept lattice has an exponential size in the data. Thus, as so...
Let L be a finite geometric lattice of rank n with rank function r. (For definitions, see e.g., [3, ...
In this paper, we describe all modular and distributive lattices which are isomorphic to the congrue...
In [4] we gave a construction of inherently nonfinitely based lattices which produced a wide variety...
De La Maza, A.C. (reprint author). Instituto de Matematica y Fisica, Universidad de Talca. Casilla 7...
In lattice theory the two well known equational class of lattices are the distributive lattices and ...
Abstract. In 1968, E. T. Schmidt introduced the M3[D] construction, an extension of the five-element...
Let A ∈ Zm×n be an integral matrix and a, b, c ∈ Z satisfy a ≥ b ≥ c ≥ 0. The question is to recogni...
In the paper we investigate Birkhoff’s conditions (Bi) and (Bi*). We prove that a discrete lattice L...
International audienceIn 1968, E. T. Schmidt introduced the M_3[D] construction, an extension of the...
AbstractLeft-modularity is a concept that generalizes the notion of modularity in lattice theory. In...
Abstract. We give several new lattice identities valid in nonmodular lat-tices such that a uniquely ...
We give several new lattice identities valid in nonmodular lattices such that a uniquely complemente...
AbstractGiven a finite lattice L, let J(L) (M(L)) denote the set of nonzero join irreducible (nonuni...
Abstract. We give several new lattice identities valid in nonmodular lattices such that a uniquely c...
It is well known by analysts that a concept lattice has an exponential size in the data. Thus, as so...
Let L be a finite geometric lattice of rank n with rank function r. (For definitions, see e.g., [3, ...
In this paper, we describe all modular and distributive lattices which are isomorphic to the congrue...
In [4] we gave a construction of inherently nonfinitely based lattices which produced a wide variety...
De La Maza, A.C. (reprint author). Instituto de Matematica y Fisica, Universidad de Talca. Casilla 7...