On the growth of algebras with bialgebra action

DOI10.1007/BF02785534zbMath0872.16014MaRDI QIDQ677447

George M. Bergman

Publication date: 6 June 1997

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

zbMATH Keywords

growth ratefree associative algebrasquasivarietiesactionsfinitely generated algebrascoassociative bialgebrasfinitely related algebras

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Growth rate, Gelfand-Kirillov dimension (16P90) Quasivarieties (08C15) General theory of nonassociative rings and algebras (17A01)

Cites Work

• Gelfand-Kirillov dimensions of a tensor product
• Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
• Koszul duality for operads
• The Gelfand-Kirillov dimension of a tensor product
• Partitions of Large Multipartites
• Gel’fand-kirillov dimensions of factor rings
• Universal Enveloping Algebras with Subexponential but not Polynomially Bounded Growth
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