Complexity of nonmatrix varieties of associative algebras. I

zbMath0395.16010MaRDI QIDQ1252916

Victor N. Latyshev

Publication date: 1977

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/186962

zbMATH Keywords

ComplexityJacobson RadicalUpper Triangular MatricesAssociative AlgebrasInner DifferentiationNilpotent IdealsNonmatrix VarietiesVariety of Algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Identities other than those of matrices over commutative rings (16R40) Generalizations (16Y99) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (8)

Nilradicals of finitely generated Jordan PI-algebras ⋮ \(Y\)-proper graded cocharacters and codimensions of upper triangular matrices of size 2, 3, 4. ⋮ Identities of the algebra of triangular matrices ⋮ Associative rings ⋮ \(Y\)-proper graded cocharacters of upper triangular matrices of order \(m\) graded by the \(m\)-tuple \(\phi=(0,0,1,\ldots,m-2)\). ⋮ Complexity of nonmatrix varieties of associative algebras. II ⋮ A Leibniz variety with almost polynomial growth ⋮ The graded identities of upper triangular matrices of size two

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