Primitive algebras with arbitrary Gelfand-Kirillov dimension

DOI10.1006/jabr.1998.7567zbMath0926.16024OpenAlexW2158052150MaRDI QIDQ1279817

Uzi Vishne

Publication date: 29 September 1999

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

Full work available at URL: https://semanticscholar.org/paper/029e328f3f3fb484e9797ec41d4da203bd5303ab

zbMATH Keywords

growthJacobson radicalGelfand-Kirillov dimensionmonomial algebrasclassical Krull dimensionaffine primitive algebrasMorse algebras

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (8)

Nil algebras, Lie algebras and wreath products with intermediate and oscillating growth ⋮ On the Kurosh problem for algebras of polynomial growth over a general field. ⋮ JACOBSON RADICAL ALGEBRAS WITH QUADRATIC GROWTH ⋮ Branch rings, thinned rings, tree enveloping rings. ⋮ Structure of prime finitely presented monomial algebras. ⋮ Prime and primitive algebras with prescribed growth types ⋮ Projectively simple rings. ⋮ Algebras which are nearly finite dimensional and their identities

Cites Work

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• On monomial algebras
• Prime affine algebras of Gelfand-Kirillov dimension one
• Homogeneous polynomial identities
• Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
• The Gelfand-Kirillov dimension of a tensor product
• Sur les corps liés aux algèbres enveloppantes des algèbres de Lie
• Affine Algebras with any set of Integers as the Dimensions of Simple Modules
• On Monomial Algebras of Finite Global Dimension
• Simple Modules and Primitive Algebras with Arbitrary Gelfand-Kirillov Dimension
• Rings that are sums of two locally nilpotent subrings, II
• Affine algebras of Gelfand-Kirillov dimension one are PI

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