On the Hilbert series op relatively free algebras

DOI10.1080/00927878408823112zbMath0549.16009OpenAlexW2085233964MaRDI QIDQ3342703

Vesselin Drensky

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/00927878408823112

zbMATH Keywords

Jordan algebrasvarieties of associative algebrasvariety of nonassociative algebrashomogeneous variety of algebrasrationality of Hilbert series

Mathematics Subject Classification ID

Jordan structures associated with other structures (17C50) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Nonassociative algebras satisfying other identities (17A30) Rings with polynomial identity (16Rxx)

Related Items (7)

T-ideals containing all matrix polynomial identities ⋮ Rational Hilbert series of relatively free Jordan algebras ⋮ ON THE GRASSMANN T-SPACE ⋮ COCHARACTERS OF POLYNOMIAL IDENTITIES OF UPPER TRIANGULAR MATRICES ⋮ Burnside-type problems, theorems on height, and independence. ⋮ A Hilbert-Nagata theorem in noncommutative invariant theory ⋮ Specht’s problem for associative affine algebras over commutative Noetherian rings

Cites Work

• Unnamed Item
• Basis for identities of the algebra of upper triangular matrices
• The Jacobson radical in PI-algebras
• T-ideals with power growth of the codimensions are Specht
• Finite basing of the identities of a matrix algebra of second order over a field of characteristic zero
• REPRESENTATIONS OF THE SYMMETRIC GROUP AND VARIETIES OF LINEAR ALGEBRAS

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