Generic \(2\times 2\) matrices in positive characteristic

DOI10.1006/JABR.1999.8143zbMath0947.16012OpenAlexW2105320567MaRDI QIDQ1972046

Dimitar Tsiganchev, Vesselin Drensky, Plamen Koev, Tihomir Asparouhov

Publication date: 10 August 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1999.8143

zbMATH Keywords

Hilbert seriesalgebras with polynomial identitiesmultilinear identitiesPI algebrasgeneric matrices

Mathematics Subject Classification ID

Trace rings and invariant theory (associative rings and algebras) (16R30) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (3)

Graded central polynomials for the matrix algebra of order two. ⋮ Normal bases of PI-algebras. ⋮ Basis of the identities of the matrix algebra of order two over a field of characteristic \(p\neq 2\)

Cites Work

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• A central polynomial of low degree for \(4\times 4\) matrices
• Finite basing of the identities of a matrix algebra of second order over a field of characteristic zero
• Gesetze in Ringen. I
• Finitely based ideals of weak polynomial identities

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