Results 11 to 20 of about 1,287 (106)
A short proof of the Buchstaber-Rees theorem [PDF]
, 2010 We give a short proof of the Buchstaber-Rees theorem concerning symmetric powers. The proof is based on the notion of a formal characteristic function of a linear map of algebras.Comment: 11 pages ...
H. M. Khudaverdian, Th, Th. Voronov
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Analytic equivalence of normal crossing functions on a real analytic manifold [PDF]
, 2009 By Hironaka Desingularization Theorem, any real analytic function has only normal crossing singularities after a suitable modification. We focus on the analytic equivalence of such functions with only normal crossing singularities. We prove that for such
Fichou, Goulwen, Shiota, Masahiro
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Geometrical Description of the Local Integrals of Motion of Maxwell-Bloch Equation [PDF]
, 1995 We represent a classical Maxwell-Bloch equation and related to it positive part of the AKNS hierarchy in geometrical terms. The Maxwell-Bloch evolution is given by an infinitesimal action of a nilpotent subalgebra $n_+$ of affine Lie algebra $\hat {sl}_2$
Antonov, A. V. +2 more
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Characterizations of derivations [PDF]
, 2019 The main purpose of this work is to characterize derivations through functional equations. This work consists of five chapters. In the first one, we summarize the most important notions and results from the theory of functional equations. In Chapter 2 we
Gselmann, Eszter
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The Gelfand map and symmetric products
, 2001 If A is an algebra of functions on X, there are many cases when X can be regarded as included in Hom(A,C) as the set of ring homomorphisms. In this paper the corresponding results for the symmetric products of X are introduced.
A. Bergmann +12 more
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Operators on superspaces and generalizations of the Gelfand-Kolmogorov theorem
, 2007 (Write-up of a talk at the Bialowieza meeting, July 2007.) Gelfand and Kolmogorov in 1939 proved that a compact Hausdorff topological space $X$ can be canonically embedded into the infinite-dimensional vector space $C(X)^* $, the dual space of the ...
Anatol Odzijewicz +5 more
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On generalized symmetric powers and a generalization of Kolmogorov-Gelfand-Buchstaber-Rees theory
, 2007 The classical Kolmogorov-Gelfand theorem gives an embedding of a (compact Hausdorff) topological space X into the linear space of all linear functionals C(X)^* on the algebra of continuous functions C(X).
Khudaverdian, H. M., Voronov, Th. Th.
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N-multipliers and their relations with n-homomorphisms
, 2016 Let $A$ be a Banach algebra and $X$ be a Banach $A$-bimodule. We introduce and study the notions of $n$-multipliers and approximate local $n$-multipliers by generalizing the classical concept of multipliers from $A$ into $X$.
Fozouni, Mohammad, Laali, Javad
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On Oriented Colourings of Graphs on Surfaces
Journal of Graph Theory, EarlyView.ABSTRACT For an oriented graph G $G$, the least number of colours required to oriented colour G $G$ is called the oriented chromatic number of G $G$ and denoted χ o ( G ) ${\chi }_{o}(G)$. For a non‐negative integer g $g$ let χ o ( g ) ${\chi }_{o}(g)$ be the least integer such that χ o ( G ) ≤ χ o ( g ) ${\chi }_{o}(G)\le \unicode{x0200A}{\chi }_{o}(g)
Alexander Clow
wiley +1 more source
Signed Projective Cubes, a Homomorphism Point of View
Journal of Graph Theory, EarlyView.ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen +2 more
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