Classes équationnelles de treillis orthomodulaires liées aux états
Classification systems and their lattice
We define and study classification systems in an arbitrary CJ-generated complete lattice L. Introducing a partial order among the classification systems of L, we obtain a complete lattice denoted by Cls(L). By using the elements of the classification systems, another lattice is also constructed: the box lattice B(L) of L. We show that B(L) is an atomistic complete lattice, moreover Cls(L)=Cls(B(L)). If B(L) is a pseudocomplemented lattice, then every classification system of L is independent and...
Closed ideals in topological algebras: a characterization of the topological -algebra
Let be a uniformly closed and locally m-convex -algebra. We obtain internal conditions on stated in terms of its closed ideals for to be isomorphic and homeomorphic to , the -algebra of all the real continuous functions on a normal topological space endowed with the compact convergence topology.
Closure operators on radical classes of lattice-ordered groups
Comments on the completeness of order complements and on the Prüfer numbers
Common fixed points of two isotone maps on a complete lattice
Commutative idempotent residuated lattices
We investigate the variety of residuated lattices with a commutative and idempotent monoid reduct.
Commutative semigroups whose lattice of tolerances is Boolean
Compact connected semilattices without the fixed point property.
Compact partially ordered sets and compactification of partially ordered sets
Compact pospaces
Posets with property DINT which are compact pospaces with respect to the interval topologies are characterized.
Compactifications of partially ordered sets
Comparison of subset systems
Complemented tolerances on lattices
Complements in the lattice of all topologies of topological groups
Complements of congruences in an -group
Complements of Connected Subgroups in Algebraic Groups
Complete co-atomic lattices with enough primes.
Completely distributive latices
Completely meet-irreducible tolerances in distributive Noetherian lattices