Results 81 to 90 of about 259,458 (179)
Square-Free Rings With Local Units [PDF]
arXiv, 2011 Recently, the author characterized all artinian square-free rings with identity. Here, those results are extended to the setting of rings with local units. We use this characterization of square-free rings to derive many results similar to the artinian case and to determine, in cohomological terms, exactly when a square-free ring has an associated ...
arxiv
On Self-Descriptive Squares [PDF]
arXiv, 2019 A novel kind of self-referential square matrix is introduced. A certain subset of the matrix entries record the frequencies of occurrence of each distinct number appearing within the entire matrix. Such squares are necessarily elusive. Our investigation brings to light interesting cases, such as 'generic' squares that include algebraic variables and ...
arxiv
An analogue of Serre’s conjecture for a ring of distributions
Topological Algebra and its Applications, 2020 The set 𝒜 := δ0+ 𝒟+′, obtained by attaching the identity δ0 to the set 𝒟+′ of all distributions on with support contained in (0, ∞), forms an algebra with the operations of addition, convolution, multiplication by complex scalars.
Sasane Amol
doaj +1 more source
Discriminants, symmetrized graph monomials, and sums of squares certificates [PDF]
arXiv, 2012 Here we present certificates for 5 classes of 6-edged multigraphs whose symmetrized graph monomials may be represented as sum of squares, but not as linear combinations of partition square graphs. This is a complement to the results presented in Discriminants, symmetrized graph monomials, and sums of squares.
arxiv
Adjusted least squares fitting of algebraic hypersurfaces
Linear Algebra and its Applications, 2016 We consider the problem of fitting a set of points in Euclidean space by an algebraic hypersurface. We assume that points on a true hypersurface, described by a polynomial equation, are corrupted by zero mean independent Gaussian noise, and we estimate the coefficients of the true polynomial equation.
Konstantin Usevich +2 more
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On the semisimplicity of the outer derivations of monomial algebras [PDF]
arXiv, 2010 We show that the Hochschild cohomology of a monomial algebra over a field of characteristic zero vanishes from degree two if the first Hochschild cohomology is semisimple as a Lie algebra. We also prove that first Hochschild cohomology of a radical square zero algebra is reductive as a Lie algebra.
arxiv
MODELING IN MAPLE AS THE RESEARCHING MEANS OF FUNDAMENTAL CONCEPTS AND PROCEDURES IN LINEAR ALGEBRA
Ìнформаційні технології в освіті, 2016 The article is devoted to binary technology and "fundamental training technology." Binary training refers to the simultaneous teaching of mathematics and computer science, for example differential equations and Maple, linear algebra and Maple.
Vasil Kushnir
doaj
Compact Kac algebras and commuting squares [PDF]
J. Funct. Anal. 176 (2000), 80-99, 1999 We consider commuting squares of finite dimensional von Neumann algebras having the algebra of complex numbers in the lower left corner. Examples include the vertex models, the spin models (in the sense of subfactor theory) and the commuting squares associated to finite dimensional Kac algebras.
arxiv
Square integrable representations and the Fourier algebra of a unimodular group [PDF]
, 1977 Giancarlo Mauceri
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Endomorphism and automorphism structure of direct squares of universal algebras [PDF]
, 1975 Matthew Gould
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