Add to ORKGWe focus on a possible generalisation of the theory of congruences on a lattice to a more general framework. In this paper, we prove that the set of congruences on an m-distributive multilattice forms a complete lattice and, moreover, show that the classical relationship between homomorphisms and congruences can be adequately adapted to work with multilattices
A classical result of R.P. Dilworth states that every finite distributive lattice D can be represent...
We construct a diagram D, indexed by a finite partially ordered set, of finite Boolean semilattices ...
Let S be a distributive {?, 0}-semilattice. In a previous paper, the second author proved the follow...
In this paper, we focus on the notions of congruence, ideal and homomorphism on the generalized stru...
AbstractIn 1983, Wille raised the question: Is every complete lattice L isomorphic to the lattice of...
AbstractIn 1983, Wille raised the question: Is every complete lattice L isomorphic to the lattice of...
This study investigates the relation between partition of a lattice into convex sublattices and the ...
Abstract. The Congruence Lattice Problem (CLP), stated by R. P. Dilworth in the forties, asks whethe...
International audienceThe Congruence Lattice Problem (CLP), stated by R. P. Dilworth in the forties,...
Dedicated to Garrett Birkhoff on the occasion of his eightieth birthday Nearly twenty years ago, two...
J. Tuma proved an interesting "congruence amalgamation" result. We are generalizing and providing an...
1 * Introduction, The structure of a lattice L, in particular its rep-resentation as direct or subdi...
summary:Using congruence schemes we formulate new characterizations of congruence distributive, arit...
summary:Let $L$ be a lattice. In this paper, corresponding to a given congruence relation $\Theta $ ...
In this paper, we describe all modular and distributive lattices which are isomorphic to the congrue...
A classical result of R.P. Dilworth states that every finite distributive lattice D can be represent...
We construct a diagram D, indexed by a finite partially ordered set, of finite Boolean semilattices ...
Let S be a distributive {?, 0}-semilattice. In a previous paper, the second author proved the follow...
In this paper, we focus on the notions of congruence, ideal and homomorphism on the generalized stru...
AbstractIn 1983, Wille raised the question: Is every complete lattice L isomorphic to the lattice of...
AbstractIn 1983, Wille raised the question: Is every complete lattice L isomorphic to the lattice of...
This study investigates the relation between partition of a lattice into convex sublattices and the ...
Abstract. The Congruence Lattice Problem (CLP), stated by R. P. Dilworth in the forties, asks whethe...
International audienceThe Congruence Lattice Problem (CLP), stated by R. P. Dilworth in the forties,...
Dedicated to Garrett Birkhoff on the occasion of his eightieth birthday Nearly twenty years ago, two...
J. Tuma proved an interesting "congruence amalgamation" result. We are generalizing and providing an...
1 * Introduction, The structure of a lattice L, in particular its rep-resentation as direct or subdi...
summary:Using congruence schemes we formulate new characterizations of congruence distributive, arit...
summary:Let $L$ be a lattice. In this paper, corresponding to a given congruence relation $\Theta $ ...
In this paper, we describe all modular and distributive lattices which are isomorphic to the congrue...
A classical result of R.P. Dilworth states that every finite distributive lattice D can be represent...
We construct a diagram D, indexed by a finite partially ordered set, of finite Boolean semilattices ...
Let S be a distributive {?, 0}-semilattice. In a previous paper, the second author proved the follow...