Amenability and Linear Cellular Automata Over Semisimple Modules of Finite Length

DOI10.1080/00927870701864015zbMath1177.43003OpenAlexW2035696947MaRDI QIDQ3510089

Michel Coornaert, Tullio G. Ceccherini Silberstein

Publication date: 26 June 2008

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

Full work available at URL: https://doi.org/10.1080/00927870701864015

zbMATH Keywords

amenable grouplinear cellular automatonArtinian moduleNoetherian modulemodule of finite lengthsemisimple modulepre-injectivity

Mathematics Subject Classification ID

Geometric group theory (20F65) Commutative Noetherian rings and modules (13E05) Cellular automata (computational aspects) (68Q80) Dynamical aspects of cellular automata (37B15) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Means on groups, semigroups, etc.; amenable groups (43A07) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (2)

A Garden of Eden theorem for linear subshifts ⋮ Induction and restriction of cellular automata

Cites Work

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• Garden of Eden Configurations for Cellular Automata on Cayley Graphs of Groups

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