Applications harmoniques entre graphes finis et un théorème de superrigidité
Applications harmoniques entre graphes finis et un théorème de superrigidité
Nous définissons une ntoion d’énergie pour des applications entre deux graphes métriques finis et cherchons à minimiser l’énergie au sein d’une classe d’homotopie. Nous démontrons des théorèmes d’existence et d’unicité analogues à ceux de Eells-Sampson et de Hartman pour les applications harmoniques à valeurs dans les variétés à courbure négative ou nulle. Nous montrons également une propriété de stabilité des applications minimisantes par rapport aux revêtements de degré fini à la source. Une application...
Applications multiformes partielles.
Applications of epigroups to graded ring theory.
Applications of Topological Graph Theory for Group Theory.
Archimedean classes in an ordered semigroup. IV
Archimedean equivalence for strictly positive lattice-ordered semigroups
Archimedean property of ordered semirings.
Arc-transitive and s-regular Cayley graphs of valency five on Abelian groups
Let G be a finite group, and let . A Cayley di-graph Γ = Cay(G,S) of G relative to S is a di-graph with a vertex set G such that, for x,y ∈ G, the pair (x,y) is an arc if and only if . Further, if , then Γ is undirected. Γ is conected if and only if G = ⟨s⟩. A Cayley (di)graph Γ = Cay(G,S) is called normal if the right regular representation of G is a normal subgroup of the automorphism group of Γ. A graph Γ is said to be arc-transitive, if Aut(Γ) is transitive on an arc set. Also, a graph Γ...
Are zero-symmetric simple nearrings with identity equiprime?
We show that there exist zero-symmetric simple nearrings with identity, which are not equiprime, solving a longstanding open problem.
A-Rings
A ring R is called an E-ring if every endomorphism of R⁺, the additive group of R, is multiplication on the left by an element of R. This is a well known notion in the theory of abelian groups. We want to change the "E" as in endomorphisms to an "A" as in automorphisms: We define a ring to be an A-ring if every automorphism of R⁺ is multiplication on the left by some element of R. We show that many torsion-free finite rank (tffr) A-rings are actually E-rings. While we have an example of a mixed...
Arithmetic groups and salem numbers.
Arithmetic groups of gauge transformations.
Arithmetic infinite Grassmannians and the induced central extensions.
Arithmetic of block monoids
Arithmetic of non-principal orders in algebraic number fields
Let be an order in an algebraic number field. If is a principal order, then many explicit results on its arithmetic are available. Among others, is half-factorial if and only if the class group of has at most two elements. Much less is known for non-principal orders. Using a new semigroup theoretical approach, we study half-factoriality and further arithmetical properties for non-principal orders in algebraic number fields.
Arithmetic of stabilizers of ideals in group rings.
Arithmetic Properties of certain partially ordered Semigeroups.
Arithmetic properties of the cohomology of Artin groups
Arithmetical characterizations of divisor class groups. II.