The Entropy of Graded Algebras

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Newman, Michael
Schneider, Csaba
Shalev, Aner

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Elsevier

Abstract

We define the entropy of a graded algebra A=⊕nAn by limsupn→∞dimAn. This is related to the notion of entropy in symbolic dynamics, and could serve as a natural dimension concept for algebras with exponential growth. We study the entropy of quotients

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Journal of Algebra

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2037-12-31