Results 61 to 70 of about 838 (163)
A tropical approach to rigidity: Counting realisations of frameworks
Abstract A realisation of a graph in the plane as a bar‐joint framework is rigid if there are finitely many other realisations, up to isometries, with the same edge lengths. Each of these finitely many realisations can be seen as a solution to a system of quadratic equations prescribing the distances between pairs of points.
Oliver Clarke +6 more
wiley +1 more source
Homomorphisms of ergodic group actions and conjugacy of skew product actions
Let G be a locally compact group acting ergodically on X. We discuss relationships between homomorphisms on the measured groupoid X×G, conjugacy of skew product extensions, and similarity of measured groupoids.
Edgar N. Reyes
doaj +1 more source
Abstract Twistor spaces are certain compact complex three‐folds with an additional real fibre bundle structure. We focus here on twistor spaces over P2#P2#P2${\mathbb {P}}^2\#{\mathbb {P}}^2\#{\mathbb {P}}^2$. Such spaces are either small resolutions of double solids or they can be described as modifications of conic bundles.
Bernd Kreußler, Jan Stevens
wiley +1 more source
Characterizing Jordan homomorphisms [PDF]
It is shown that every bounded, unital linear mapping that preserves elements of square zero from a C*-algebra of real rank zero and without tracial states into a Banach algebra is a Jordan ...
openaire +3 more sources
Jordan homomorphisms and T‐ideals
Abstract Let A$A$ and B$B$ be associative algebras over a field F$F$ with char(F)≠2${\rm char}(F)\ne 2$. Our first main result states that if A$A$ is unital and equal to its commutator ideal, then every Jordan epimorphism φ:A→B$\varphi:A\rightarrow B$ is the sum of a homomorphism and an antihomomorphism. Our second main result concerns (not necessarily
Matej Brešar, Efim Zelmanov
wiley +1 more source
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
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
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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
Stability of the equation of homomorphism and completeness of the underlying space [PDF]
We prove that all assumptions of a Theorem of Forti and Schwaiger (cf. [G. L. Forti, J. Schwaiger, Stability of homomorphisms and completeness, C. R. Math. Rep. Acad. Sci.
Zenon Moszner
doaj

