The Artin-Stafford gap theorem

DOI10.1090/S0002-9939-05-07763-4zbMath1083.16016WikidataQ114949910 ScholiaQ114949910MaRDI QIDQ4663442

Agata Smoktunowicz

Publication date: 31 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

growthGelfand-Kirillov dimensionfinitely generated domainsfinitely graded algebrasfinitely graded domains

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Infinite-dimensional and general division rings (16K40) Graded rings and modules (associative rings and algebras) (16W50) Localization and associative Noetherian rings (16P50) Integral domains (associative rings and algebras) (16U10)

Related Items (2)

Division algebras of Gelfand-Kirillov transcendence degree 2. ⋮ There are no graded domains with GK dimension strictly between 2 and 3.

Cites Work

• Unnamed Item
• Prime affine algebras of Gelfand-Kirillov dimension one
• Noncommutative graded domains with quadratic growth
• Noncommutative curves and noncommutative surfaces

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