Einige Charakterisationen von Ketten
Einige Ergebnisse aus der Theorie der zyklisch erzeugten modularen Verbände
Einschließung inverser Elemente durch Fixpunktverfahren.
El Espectro Y La Dimension De Anillos En El Algebra Sobre Un Topos.
Elementary equivalence of lattices of open sets definable in o-minimal expansions of real closed fields
We prove that the boolean algebras of sets definable in elementarily equivalent o-minimal expansions of real closed fields are back-and-forth equivalent, and in particular elementarily equivalent, in the language of boolean algebras with new predicates indicating the dimension, Euler characteristic and open sets. We also show that the boolean algebra of semilinear subsets of [0,1]ⁿ definable in an o-minimal expansion of a real closed field is back-and-forth equivalent to the boolean algebra of definable...
Éléments isotypiques dans les (T)-algèbres modulaires
Embedding co-continuous posets in function spaces of domains.
Embedding in globals of finite semilattices
Embedding of free Boolean algebras in complete Boolean algebras
Embedding of semilattices into distributive lattices
Embedding partially ordered sets into
We investigate some natural questions about the class of posets which can be embedded into ⟨ω,≤*⟩. Our main tool is a simple ccc forcing notion which generically embeds a given poset E into ⟨ω,≤*⟩ and does this in a “minimal” way (see Theorems 9.1, 10.1, 6.1 and 9.2).
Embeddings into 𝓟(ℕ)/fin and extension of automorphisms
Given a Boolean algebra 𝔹 and an embedding e:𝔹 → 𝓟(ℕ)/fin we consider the possibility of extending each or some automorphism of 𝔹 to the whole 𝓟(ℕ)/fin. Among other things, we show, assuming CH, that for a wide class of Boolean algebras there are embeddings for which no non-trivial automorphism can be extended.
Embeddings into Power Series Rings.
Embeddings into Simple Lattice-ordered Groups with Different First Order Theories.
Embeddings of chains into chains
Continuity of isotone mappings and embeddings of a chain G into another chain are studied. Especially, conditions are found under which the set of points of discontinuity of such a mapping is dense in G.
Embeddings of lattices in the lattice of topologies
Embeddings of totally ordered MV-algebras of bounded cardinality
For a given cardinal number 𝔞, we construct a totally ordered MV-algebra M(𝔞) having the property that every totally ordered MV-algebra of cardinality at most 𝔞 embeds into M(𝔞). In case 𝔞 = ℵ₀, the algebra M(𝔞) is the first known MV-algebra with respect to which the deductive system for the infinitely-valued Łukasiewicz's propositional logic is strongly complete.
Embeddings of Valued Groups.
Endliche Verbände.
Endlichkeitsbedingungen bei Verbänden, Moduln, Gruppen.