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The Entropy of Graded Algebras

Newman, Michael; Schneider, Csaba; Shalev, Aner


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

CollectionsANU Research Publications
Date published: 2000
Type: Journal article
Source: Journal of Algebra


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