The Gelfand-Kirillov dimension of a tensor product

DOI10.1007/BF01236255zbMath0506.16017MaRDI QIDQ1836728

Robert B. jun. Warfield

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173413

zbMATH Keywords

enveloping algebratensor productfinitely generated algebrasNoetherian PI algebraGelfand- Kirillov dimensionsuperdimension

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Homological dimension in associative algebras (16E10) Rings with polynomial identity (16Rxx)

Related Items (12)

On Semigroups of Intermediate Growth ⋮ Gel’fand-kirillov dimensions of factor rings ⋮ On cancellative semigroup rings ⋮ Growth of nonsymmetric operads ⋮ Nil algebras, Lie algebras and wreath products with intermediate and oscillating growth ⋮ A MEALY MACHINE WITH POLYNOMIAL GROWTH OF IRRATIONAL DEGREE ⋮ Groups of given intermediate word growth. ⋮ Gelfand-Kirillov dimension under base field extension ⋮ On the growth of algebras with bialgebra action ⋮ TYPES OF GROWTH AND IDENTITIES OF SEMIGROUPS ⋮ Hasse zeta functions of non-commutative rings ⋮ Primitive algebras with arbitrary Gelfand-Kirillov dimension

Cites Work

• On the Gel′fand-Kirillov dimension of Noetherian P.I.-algebras
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