Angeordnete affine lokale Ternärringe und angeordnete affine Klingenbergsche Ebenen
Annihilator-preserving congruence relations in distributive nearlattices
In this note we give some new characterizations of distributivity of a nearlattice and we study annihilator-preserving congruence relations.
Annihilators and ideals in distributive and modular ordered sets
Annihilators and ideals in ordered sets
Annihilators in BCK-algebras
We introduce the concepts of an annihilator and a relative annihilator of a given subset of a BCK-algebra . We prove that annihilators of deductive systems of BCK-algebras are again deductive systems and moreover pseudocomplements in the lattice of all deductive systems on . Moreover, relative annihilators of with respect to are introduced and serve as relative pseudocomplements of w.r.t. in .
Annihilators in normal autometrized algebras
The concepts of an annihilator and a relative annihilator in an autometrized -algebra are introduced. It is shown that every relative annihilator in a normal autometrized -algebra is an ideal of and every principal ideal of is an annihilator of . The set of all annihilators of forms a complete lattice. The concept of an -polar is introduced for every ideal of . The set of all -polars is a complete lattice which becomes a two-element chain provided is prime. The -polars are characterized...
Annihilators on weakly standard BCC-algebras.
Announcements of new results
Announcements of new results
Another look at the localic Tychonoff theorem
Another note on countable Boolean algebras
We prove that a Boolean algebra is countable iff its subalgebra lattice admits a continuous complementation.
Antichains in the homomorphism order of graphs
Let and , respectively, denote the partially ordered sets of homomorphism classes of finite undirected and directed graphs, respectively, both ordered by the homomorphism relation. Order theoretic properties of both have been studied extensively, and have interesting connections to familiar graph properties and parameters. In particular, the notion of a duality is closely related to the idea of splitting a maximal antichain. We construct both splitting and non-splitting infinite maximal antichains...
Antichains of multisets.
Antimorphisms of partially ordered sets
Any distributive lattice is determined by a semigroup from a certain class.
Any orthomodular poset is a pasting of Boolean algebras
Aplicaciones de Galois en conjuntos ordenados y en retículos.
Aplikace theorie uspořádaných kontinuí na Booleovy algebry
Application of the factorization theorem for Stone algebras in locales [Abstract of thesis]
Applications galoisiennes proches d'une application entre treillis