On some properties and special identities in the second order matrix algebra over Grassmann algebras

DOI10.1515/DEMA-2013-0438zbMath1273.16021OpenAlexW36699311MaRDI QIDQ4916755

Tsetska Gr. Rashkova

Publication date: 25 April 2013

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2013-0438

zbMATH Keywords

matrix algebrasinvolutionsskew-symmetric matricesinfinite Grassmann algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75)

Cites Work

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• Particle spin dynamics as the Grassmann variant of classical mechanics
• Tensor products of matrix algebras over the Grassmann algebra
• Involution codimensions of Grassmann algebra
• POLYNOMIAL IDENTITIES OF
• The Polynomial Identities of the Grassman Algebra
• A Grassmann integral equation
• Exponential growth for codimensions of some p. i. algebras

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