Examples in finite Gel'fand-Kirillov dimension

DOI10.1016/S0021-8693(03)00021-8zbMath1028.16012MaRDI QIDQ1810549

Jason P. Bell

Publication date: 9 June 2003

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

zbMATH Keywords

prime algebrasJacobson radicalGelfand-Kirillov dimensionaffine algebras

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Growth rate, Gelfand-Kirillov dimension (16P90) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Jacobson radical, quasimultiplication (16N20)

Related Items (13)

Wreath products by a leavitt path algebra and affinizations ⋮ An affine prime non-semiprimitive monomial algebra with quadratic growth. ⋮ Jacobson radical algebras with Gelfand-Kirillov dimension two over countable fields. ⋮ Jacobson radical non-nil algebras of Gel'fand-Kirillov dimension 2. ⋮ On the Kurosh problem for algebras of polynomial growth over a general field. ⋮ Examples in Finite Gel'fand–Kirillov Dimension. II ⋮ The prime spectrum of algebras of quadratic growth. ⋮ Branch rings, thinned rings, tree enveloping rings. ⋮ On matrix wreath products of algebras ⋮ A dichotomy result for prime algebras of Gelfand-Kirillov dimension two. ⋮ Primitivity of finitely presented monomial algebras. ⋮ Matrix wreath products of algebras and embedding theorems ⋮ Extended Centres of Finitely Generated Prime Algebras

Cites Work

• Prime affine algebras of Gelfand-Kirillov dimension one
• On the primitivity of prime rings
• Algebras Over Infinite Fields
• ALGEBRAS WITH POLYNOMIALLY BOUNDED GROWTH AND ENDOMORPHIS1M RINGS OF SIMPLE MODULES
• Prime von Neumann Regular Rings and Primitive Group Algebras
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