Title of article
The Entropy of Graded Algebras
Author/Authors
M. F. Newman، نويسنده , , Csaba Schneider، نويسنده , , Aner Shalev، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1999
Pages
16
From page
85
To page
100
Abstract
We define the entropy of a graded algebra A = n An by . 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 and subalgebras of free associative algebras and free Lie algebras. We also study the behavior of the entropy function under free products, and obtain several characterizations of free algebras in terms of entropy.
Keywords
free Lie algebras , Hilbert series , graded associative algebras , growth , Symbolic dynamics , graded Lie algebras , free associative algebras , Entropy
Journal title
Journal of Algebra
Serial Year
1999
Journal title
Journal of Algebra
Record number
694817
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