Results 81 to 90 of about 902 (199)
Classification of harmonic homomorphisms between Riemannian three-dimensional unimodular Lie groups [PDF]
Purpose – The purpose of this study is to classify harmonic homomorphisms ϕ : (G, g) → (H, h), where G, H are connected and simply connected three-dimensional unimodular Lie groups and g, h are left-invariant Riemannian metrics.
Zagane Abdelkader +2 more
doaj +1 more source
We define the Homomorphism Extension (HomExt) problem: given a group $G$, a subgroup $M \leq G$ and a homomorphism $φ: M \to H$, decide whether or not there exists a homomorphism $\widetildeφ: G\to H$ extending $φ$, i.e., $\widetildeφ|_M = φ$. This problem arose in the context of list-decoding homomorphism codes but is also of independent interest ...
openaire +2 more sources
On Oriented Colourings of Graphs on Surfaces
ABSTRACT For an oriented graph G, the least number of colours required to oriented colour G is called the oriented chromatic number of G and denoted χ o ( G ). For a non‐negative integer g let χ o ( g ) be the least integer such that χ o ( G ) ≤ χ o ( g ) for every oriented graph G with Euler genus at most g.
Alexander Clow
wiley +1 more source
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source
Asymmetric Results About Graph Homomorphisms
ABSTRACT Many important results in extremal graph theory can be roughly summarized as “if a triangle‐free graph G$$ G $$ has certain properties, then it has a homomorphism to a triangle‐free graph Γ$$ \Gamma $$ of bounded size.” For example, bounds on homomorphism thresholds give such a statement if G$$ G $$ has sufficiently high minimum degree, and ...
Lior Gishboliner +2 more
wiley +1 more source
On the Representation of the Lattices of the Algebraic Sets of the Universal Algebras
The concept of an algebraic set is a basic concept of the classical algebraic geometry over fields. This concept, along with the concept of an algebraic lattice of algebraic sets is the basic concept of so-called algebraic geometry of universal algebras.
A.G. Pinus
doaj +1 more source
On the positivity and integrality of coefficients of mirror maps
Abstract We present natural conjectural generalisations of the ‘positivity and integrality of mirror maps’ phenomenon, encompassing the mirror maps appearing in the Batyrev–Borisov construction of mirror Calabi–Yau complete intersections in Fano toric varieties as a special case.
Sophie Bleau, Nick Sheridan
wiley +1 more source
Approximately Ternary Homomorphisms on C*-Ternary Algebras
Gordji et al. established the Hyers-Ulam stability and the superstability of C*-ternary homomorphisms and C*-ternary derivations on C*-ternary algebras, associated with the following functional equation: fx2-x1/3+fx1-3x3/3+f3x1+3x3-x2/3=fx1, by the ...
Eon Wha Shim +4 more
doaj +1 more source
Generalized derivations as homomorphisms or anti-homomorphisms on Lie ideals
Let R be a prime ring of char(R)≠2, Z the center of R, and L a nonzero Lie ideal of R. If R admits a generalized derivation F associated with a derivation d which acts as a homomorphism or as anti-homomorphism on L, then either d=0 or L⊆Z.
Nadeem ur Rehman, Mohd Arif Raza
doaj +1 more source
Kitaoka's conjecture and sums of squares
Abstract We connect the existence of a ternary classical universal quadratic form over a totally real number field K$K$ with the property that all totally positive multiples of 2 are sums of squares (if K$K$ does not contain 2$\sqrt{2}$ or contains a nonsquare totally positive unit).
Vítězslav Kala +2 more
wiley +1 more source

