Results 21 to 30 of about 57 (54)
Characterization generalized derivations of tensor products of nonassociative algebras
Demonstratio MathematicaConsider A{\mathcal{A}} and ℬ{\mathcal{ {\mathcal B} }} to be nonassociative unital algebras. Under the assumption that either one of them has finite dimensions or that both are finite dimensions, a generalized derivation is an additive map ℱ:A→A ...
Aboubakr Ahmed
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Open MathematicsWe consider the tensor products of square matrices of different sizes and introduce the stretching maps, which can be viewed as a generalized matricization.
Futorny Vyacheslav +2 more
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Semi-Symmetric Algebras: General Constructions. Part II [PDF]
, 2010 2000 Mathematics Subject Classification: 15A69, 15A78.In [3] we present the construction of the semi-symmetric algebra [χ](E) of a module E over a commutative ring K with unit, which generalizes the tensor algebra T(E), the symmetric algebra S(E), and ...
Iliev, Valentin Vankov
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Linear preservers of Tensor product of Unitary Orbits
, 2020 It is shown that the linear group of automorphism of Hermitian matrices which preserves the tensor product of unitary orbits is generated by natural automorphisms: change of an orthonormal basis in each tensor factor, partial transpose in each tensor ...
Chi-Kwong Li +5 more
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Eigenvalues of the Adjacency Tensor on Products of Hypergraphs [PDF]
, 2013 We consider the generalized notions of Cartesian and tensor products on m-uniform hypergraphs. The adjacency tensor is analogous to the adjacency matrix and two different notions of eigenvalues of the adjacency tensor on the products of hypergraphs are ...
Kelly J Pearson, Tan Zhang
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Asymptotic behaviour of Functional Identities [PDF]
, 2012 2010 Mathematics Subject Classification: Primary 16R60, Secondary 16R10, 15A03, 15A69.We calculate the asymptotics of functional codimensions fcn(A) and generalized functional codimensions gfc n (A) of an arbitrary not necessarily associative algebra A ...
Gordienko, A. S.
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Computation of the Response Surface in the Tensor Train data format [PDF]
, 2014 We apply the Tensor Train (TT) approximation to construct the Polynomial Chaos Expansion (PCE) of a random field, and solve the stochastic elliptic diffusion PDE with the stochastic Galerkin discretization.
Matthies, Hermann G. +3 more
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The hyperbolic CS decomposition of tensors based on the C-product
Open MathematicsThis paper studies the issues about the hyperbolic CS decomposition of tensors under the C-product. The aim of this paper is fourfold. Firstly, we establish the CS decomposition of a complex unitary tensor, including the thin version and the standard ...
Jin Hongwei, Chen Siran, Benítez Julio
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Open MathematicsA class of weakly irreducible quasi-positive tensors is defined by using directed hypergraphs of tensors, which generalizes the essential positive tensors, weakly positive tensors, generalized weakly positive tensors, and weakly essential irreducible ...
Lv Hongbin, Chen Meixiang
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Improved Ky Fan theorems for tensors
Demonstratio MathematicaIn this paper, we introduce two new structured tensors, which are called generalized nonnegative tensors and GM $G\mathcal{M}$ -tensors. These concepts extend the concepts of nonnegative tensors and M $\mathcal{M}$ -tensors.
He Jun +3 more
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