ON ALGEBRAS THAT HAVE ALMOST FINITE DIMENSIONAL REPRESENTATIONS

DOI10.1142/S0219498805001046zbMath1150.16307arXivmath/0311376MaRDI QIDQ5312881

Gábor Elek

Publication date: 25 August 2005

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311376

zbMATH Keywords

stable finitenessIBN propertyalmost finite dimensional representabilitypathological rings

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Representations of orders, lattices, algebras over commutative rings (16G30) Grothendieck groups, (K)-theory, etc. (16E20) Growth rate, Gelfand-Kirillov dimension (16P90)

Related Items (2)

Linear sofic groups and algebras ⋮ Generating numbers of rings graded by amenable and supramenable groups

Cites Work

• Modules over affine algebras having subexponential growth
• Endomorphisms of symbolic algebraic varieties
• The amenability of affine algebras
• Some remarks on the invariant basis property
• The $K$-theory of Gromov’s translation algebras and the amenability of discrete groups

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