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k-commuting mappings of generalized matrix algebras

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0 Published in 2019 at "Periodica Mathematica Hungarica"

DOI: 10.1007/s10998-018-0260-1

Abstract: In this paper we will study k-commuting mappings of generalized matrix algebras. The general form of arbitrary k-commuting mapping of a generalized matrix algebra is determined. It is shown that under mild assumptions, every k-commuting… read more here.

Keywords: matrix algebras; algebra; mappings generalized; generalized matrix ... See more keywords

Cotangent bundles for “matrix algebras converge to the sphere”

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1 Published in 2020 at "Expositiones Mathematicae"

DOI: 10.1016/j.exmath.2020.01.006

Abstract: In the high-energy quantum-physics literature one finds statements such as "matrix algebras converge to the sphere". Earlier I provided a general setting for understanding such statements, in which the matrix algebras are viewed as compact… read more here.

Keywords: cotangent bundles; converge sphere; bundles matrix; matrix algebras ... See more keywords

The image of polynomials on 2 × 2 upper triangular matrix algebras

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1 Published in 2021 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2020.10.009

Abstract: Abstract The goal of the paper is to give a complete description of the image of polynomials with zero constant term on 2 × 2 upper triangular matrix algebras over an algebraically closed field. read more here.

Keywords: image polynomials; upper triangular; triangular matrix; matrix algebras ... See more keywords

Automorphisms of Formal Matrix Algebras

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0 Published in 2018 at "Siberian Mathematical Journal"

DOI: 10.1134/s0037446618050129

Abstract: We consider the automorphisms of formal matrix algebras over a given commutative ring. In some cases the automorphism group of these algebras is a semidirect product of certain subgroups whose structure is known. read more here.

Keywords: formal matrix; matrix algebras; automorphisms formal;

Piecewise Hereditary Triangular Matrix Algebras

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0 Published in 2021 at "Algebra Colloquium"

DOI: 10.1142/s1005386721000134

Abstract: For any positive integer N, we clearly describe all finite-dimensional algebras A such that the upper triangular matrix algebras TN( A) are piecewise hereditary. Consequently, we describe all finit... read more here.

Keywords: matrix algebras; hereditary triangular; algebras piecewise; triangular matrix ... See more keywords