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Automorphisms and superalgebra structures on the Grassmann algebra - MaRDI portal

Automorphisms and superalgebra structures on the Grassmann algebra (Q2161130)

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scientific article; zbMATH DE number 7567655

Language	Label	Description	Also known as
English	Automorphisms and superalgebra structures on the Grassmann algebra	scientific article; zbMATH DE number 7567655

Statements

scholarly article

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Automorphisms and superalgebra structures on the Grassmann algebra (English)

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Alan de Araújo Guimarães

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Plamen Koshlukov

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Journal of Pure and Applied Algebra

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publication date

4 August 2022

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full work available at URL

https://arxiv.org/abs/2009.00175

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MaRDI profile type

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Polynomial identities of algebras in positive characteristic.

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Z<sub><i>P</i></sub>-CODIMENSIONS OF Z<sub><i>P</i></sub>-IDENTITIES OF GRASSMANN ALGEBRA

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GRADED IDENTITIES FOR THE MATRIX ALGEBRA OF ORDER OVER AN INFINITE FIELD

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Group Gradings on Matrix Algebras

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\(\mathbb Z_2\)-graded identities of the Grassmann algebra in positive characteristic.

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The \(G\)-graded identities of the Grassmann algebra.

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Gradings on the algebra of upper triangular matrices and their graded identities.

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Graded Polynomial Identities for Tensor Products by the Grassmann Algebra

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GRADED POLYNOMIAL IDENTITIES OF VERBALLY PRIME ALGEBRAS

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On \(\mathbb Z_2\)-graded polynomial identities of the Grassmann algebra.

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On ℤ<sub><i>p</i></sub>-graded identities and cocharacters of the Grassmann algebra

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A minimal basis of identities for a second-order matrix algebra over a field of characteristic 0

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On the identities of the Grassmann algebras in characteristic \(p>0\)

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Group Actions and Asymptotic Behavior of Graded Polynomial Identities

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VARIETIES AND $ Z_2$-GRADED ALGEBRAS

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Finite basis property of identities of associative algebras

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Basis of the identities of the matrix algebra of order two over a field of characteristic \(p\neq 2\)

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The Polynomial Identities of the Grassman Algebra

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Basis for identities of the algebra of upper triangular matrices

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A basis for the identities of the algebra of second-order matrices over a finite field

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Identities of the tensor square of a Grassmann algebra

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Finite basing of the identities of a matrix algebra of second order over a field of characteristic zero

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Group gradings on upper triangular matrices.

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Z-Graded Polynomial Identities of the Full Matrix Algebra

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$\mathbf {Z}_n$-graded polynomial identities of the full matrix algebra of order $n$

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.JPAA.2022.107166

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Sitelinks

Mathematics(1 entry)

mardi Publication:2161130

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