Generalizing earlier results of Katriňák, El-Assar and the present author we prove new structure theorems for l-algebras. We obtain necessary and sufficient conditions for the decomposition of an arbitrary bounded lattice into a direct product of (finitely) subdirectly irreducible lattices. 2000 Mathematics subject classification: primary 08A05, 06F99, 06B05. 1
summary:This paper deals with directly indecomposable direct factors of a directed set
A lattice in euclidean space which is an orthogonal sum of nontrivial sublattices is called decompo...
In this paper we study subdirectly irreducible double Km,n-algebras. In particular, we prove that ev...
AbstractFor a given complete lattice L, we investigate whether L can be decomposed as a direct produ...
For a given complete lattice L, we investigate whether L can be decomposed as a direct product of di...
summary:In this paper we generalize a result of Libkin concerning direct product decompositions of l...
It is shown that the Boolean center of complemented elements in a bounded in-tegral residuated latti...
We introduce a notion of dimension of an algebraic lattice and, treating such a lattice as the congr...
It is well known by analysts that a concept lattice has an exponential size in the data. Thus, as so...
summary:In this paper we deal with the relations between the direct product decompositions of a pseu...
summary:In the present paper we deal with the relations between direct product decompositions of a d...
In this paper we study direct product decompositions of closure operations and lattices of closed se...
Abstract — In 1998, Hájek established a representation theorem of BL-algebrs as all subdirect produc...
AbstractIn this paper we study the direct product decompositions of closure operations and lattices ...
AbstractEvery completely distributive complete lattice is a subdirect product of copies of the latti...
summary:This paper deals with directly indecomposable direct factors of a directed set
A lattice in euclidean space which is an orthogonal sum of nontrivial sublattices is called decompo...
In this paper we study subdirectly irreducible double Km,n-algebras. In particular, we prove that ev...
AbstractFor a given complete lattice L, we investigate whether L can be decomposed as a direct produ...
For a given complete lattice L, we investigate whether L can be decomposed as a direct product of di...
summary:In this paper we generalize a result of Libkin concerning direct product decompositions of l...
It is shown that the Boolean center of complemented elements in a bounded in-tegral residuated latti...
We introduce a notion of dimension of an algebraic lattice and, treating such a lattice as the congr...
It is well known by analysts that a concept lattice has an exponential size in the data. Thus, as so...
summary:In this paper we deal with the relations between the direct product decompositions of a pseu...
summary:In the present paper we deal with the relations between direct product decompositions of a d...
In this paper we study direct product decompositions of closure operations and lattices of closed se...
Abstract — In 1998, Hájek established a representation theorem of BL-algebrs as all subdirect produc...
AbstractIn this paper we study the direct product decompositions of closure operations and lattices ...
AbstractEvery completely distributive complete lattice is a subdirect product of copies of the latti...
summary:This paper deals with directly indecomposable direct factors of a directed set
A lattice in euclidean space which is an orthogonal sum of nontrivial sublattices is called decompo...
In this paper we study subdirectly irreducible double Km,n-algebras. In particular, we prove that ev...