Algebras which are nearly finite dimensional and their identities

DOI10.1007/BF02784533zbMath1006.16025MaRDI QIDQ1611542

Lance W. Small, Daniel R. Farkas

Publication date: 10 December 2002

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Gelfand-Kirillov dimensionpolynomial identitiessemiprimitive algebrasprimitive algebrasjust infinite dimensional algebras

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (15)

Just infinite alternative algebras ⋮ A Few Properties of Just Infinite Algebras ⋮ Simplicity of noncommutative Dedekind domains ⋮ Reflexive ideals in Iwasawa algebras. ⋮ Nearly finite-dimensional Jordan algebras ⋮ Locally finite Leavitt path algebras. ⋮ Graded algebras and their differential graded extensions. ⋮ Branch rings, thinned rings, tree enveloping rings. ⋮ Herstein's construction for just infinite superalgebras ⋮ Stably just infinite rings. ⋮ Projectively simple rings. ⋮ A dichotomy result for prime algebras of Gelfand-Kirillov dimension two. ⋮ Primitivity of finitely presented monomial algebras. ⋮ A Prime Ideal Principle for Two-Sided Ideals ⋮ Extended Centres of Finitely Generated Prime Algebras

Cites Work

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• Prime affine algebras of Gelfand-Kirillov dimension one
• Primitive algebras with arbitrary Gelfand-Kirillov dimension
• Semisimple Representations and Affine Rings
• A Primitive Ring Associated to a Burnside 3-Group
• Representations of the Gupta-Sidki group
• Prime von Neumann Regular Rings and Primitive Group Algebras

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