The lattice of all subtrees of a tree
The Lattice of all Systems of -Ideals in a Set
The lattice of ideals of a compact semilattice.
The lattice of indiscernibility equivalences
The Lattice of Kernel Operators and Topological Algebra.
The lattice of R-unipotent congruences on a regular semigroup.
The lattice R-tors for perfect rings.
The lattices of topologies on a partially ordered set
The maximal semigroup of quotients of a finite semilattice.
The model-completion of Stone algebras
The new interval topology on lattice products
The orientability of the direct product of graphs
The quasi-real extension of the real numbers
The restricted cancellation law in a Noether lattice
The semigroup of varieties of weakly associative lattice groups
The spectral theory of semitopological semilattices.
The strong independence theorem for automorphism groups and congruence lattices of finite lattices.
The study of the L-fuzzy concept lattice.
The L-Fuzzy concept theory that we have developed sets up classifications from the objects and attributes of a context through L-Fuzzy relations. This theory generalizes the formal concept theory of R. Wille. In this paper we begin with the L-Fuzzy concept definition that generalizes the definitions of the formal concept theory, and we study the lattice structure of the L-Fuzzy concept set, giving a constructive method for calculating this lattice. At the end, we apply this constructive method to...
The subalgebra lattice of a finite algebra
The aim of this paper is to characterize pairs (L, A), where L is a finite lattice and A a finite algebra, such that the subalgebra lattice of A is isomorphic to L. Next, necessary and sufficient conditions are found for pairs of finite algebras (of possibly distinct types) to have isomorphic subalgebra lattices. Both of these characterizations are particularly simple in the case of distributive subalgebra lattices. We do not restrict our attention to total algebras only, but we consider the more...
The Tensor Product of Continuous Lattices.