Examples in Finite Gel'fand–Kirillov Dimension. II

DOI10.1081/AGB-200058361zbMath1114.16021MaRDI QIDQ5704517

Jason P. Bell

Publication date: 15 November 2005

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

zbMATH Keywords

prime algebrasGelfand-Kirillov dimensionaffine algebrasfinitely generated algebrasclassical Krull dimensionfinitely partitive GK dimension

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (7)

Growth, relations and prime spectrum of monomial algebras ⋮ On graded characterizations of finite dimensionality for algebraic algebras ⋮ Ideals in the enveloping algebra of the positive Witt algebra ⋮ The prime spectrum of algebras of quadratic growth. ⋮ Prime monomial ideals of algebras of subsemigroups of free nilpotent groups ⋮ A dichotomy result for prime algebras of Gelfand-Kirillov dimension two. ⋮ Representing nilpotent matrices as single commutators

Cites Work

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• Prime affine algebras of Gelfand-Kirillov dimension one
• Examples in finite Gel'fand-Kirillov dimension
• Gel’fand-kirillov dimensions of factor rings

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