AbstractWe construct an algebraic distributive lattice D that is not isomorphic to the congruence lattice of any lattice. This solves a long-standing open problem, traditionally attributed to R.P. Dilworth, from the forties. The lattice D has a compact top element and ℵω+1 compact elements. Our results extend to any algebra possessing a congruence-compatible structure of a join-semilattice with a largest element
The main result of this paper is that the class of congruence lattices of semilattices satisfies no...
International audienceThe Congruence Lattice Problem (CLP), stated by R. P. Dilworth in the forties,...
We prove the following result: Theorem. Every algebraic distributive lattice D with at most N1 compa...
AbstractWe construct an algebraic distributive lattice D that is not isomorphic to the congruence la...
Version 1 presents a longer and slightly more general proof, based on so-called "uniform refinement ...
Version 1 presents a longer and slightly more general proof, based on so-called "uniform refinement ...
AbstractWe present two examples of distributive algebraic lattices which are not isomorphic to the c...
AbstractWe prove that every distributive algebraic lattice with at most ℵ1 compact elements is isomo...
We prove that every distributive algebraic lattice with at most $\aleph_1$ compact elements is isomo...
We prove that every distributive algebraic lattice with at most $\aleph_1$ compact elements is isomo...
AbstractWe prove that every distributive algebraic lattice with at most ℵ1 compact elements is isomo...
AbstractA finite distributive lattice D can be represented as the congruence lattice, Con L, of a fi...
Abstract. The Congruence Lattice Problem (CLP), stated by R. P. Dilworth in the forties, asks whethe...
Dedicated to Garrett Birkhoff on the occasion of his eightieth birthday Nearly twenty years ago, two...
AbstractWe present two examples of distributive algebraic lattices which are not isomorphic to the c...
The main result of this paper is that the class of congruence lattices of semilattices satisfies no...
International audienceThe Congruence Lattice Problem (CLP), stated by R. P. Dilworth in the forties,...
We prove the following result: Theorem. Every algebraic distributive lattice D with at most N1 compa...
AbstractWe construct an algebraic distributive lattice D that is not isomorphic to the congruence la...
Version 1 presents a longer and slightly more general proof, based on so-called "uniform refinement ...
Version 1 presents a longer and slightly more general proof, based on so-called "uniform refinement ...
AbstractWe present two examples of distributive algebraic lattices which are not isomorphic to the c...
AbstractWe prove that every distributive algebraic lattice with at most ℵ1 compact elements is isomo...
We prove that every distributive algebraic lattice with at most $\aleph_1$ compact elements is isomo...
We prove that every distributive algebraic lattice with at most $\aleph_1$ compact elements is isomo...
AbstractWe prove that every distributive algebraic lattice with at most ℵ1 compact elements is isomo...
AbstractA finite distributive lattice D can be represented as the congruence lattice, Con L, of a fi...
Abstract. The Congruence Lattice Problem (CLP), stated by R. P. Dilworth in the forties, asks whethe...
Dedicated to Garrett Birkhoff on the occasion of his eightieth birthday Nearly twenty years ago, two...
AbstractWe present two examples of distributive algebraic lattices which are not isomorphic to the c...
The main result of this paper is that the class of congruence lattices of semilattices satisfies no...
International audienceThe Congruence Lattice Problem (CLP), stated by R. P. Dilworth in the forties,...
We prove the following result: Theorem. Every algebraic distributive lattice D with at most N1 compa...
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