Modules over affine algebras having subexponential growth

DOI10.1016/0021-8693(90)90287-XzbMath0712.16019MaRDI QIDQ923698

Louis Halle Rowen

Publication date: 1990

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

zbMATH Keywords

finitely generated modulesfree modulesranksubexponential growthfinitely generated algebraminimal generating setSylvester module rank functionstrictly defined growth

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Growth rate, Gelfand-Kirillov dimension (16P90)

Related Items (5)

ON ALGEBRAS THAT HAVE ALMOST FINITE DIMENSIONAL REPRESENTATIONS ⋮ Amenability of coarse spaces and \(\mathbb {K}\)-algebras ⋮ The amenability of affine algebras ⋮ Sylvester rank functions for amenable normal extensions ⋮ Growth, entropy and commutativity of algebras satisfying prescribed relations.

Cites Work

• Growth and uniqueness of rank
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