Gromov translation algebras over discrete trees are exchange rings

DOI10.1090/S0002-9947-03-03372-5zbMath1058.16008OpenAlexW1673323678MaRDI QIDQ4452274

Pere Ara, K. C. O'Meara, Francesc Perera

Publication date: 12 February 2004

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03372-5

zbMATH Keywords

idempotentsdirect sumsfree modulesexchange ringsvon Neumann regular ringsinfinite matricestranslation algebrasbandwidth dimension

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Growth rate, Gelfand-Kirillov dimension (16P90) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items

Row and column finite matrices ⋮ Asymptotic invariants of finitely generated algebras. A generalization of Gromov's quasi-isometric viewpoint. ⋮ Gromov's translation algebras, growth and amenability of operator algebras ⋮ Additive Representations of Elements in Rings: A Survey ⋮ Power-Substitution and Exchange Rings ⋮ Characterizations of Gelfand rings specially clean rings and their dual rings ⋮ Generating numbers of rings graded by amenable and supramenable groups

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