Name
Abstract | ||
|---|---|---|
We consider a very simple Mealy machine ( two nontrivial states over a two-symbol alphabet), and derive some properties of the semigroup it generates. It is an infinite, finitely generated semigroup, and we show that the growth function of its balls behaves asymptotically like l(alpha), for alpha = 1 + log 2/log 1+root 5/2 ; that the semigroup satisfies the identity g(6) = g(4); and that its lattice of two-sided ideals is a chain. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1142/S0218196708004287 | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION |
Keywords | Field | DocType |
semigroup, self-similar semigroup, growth, automata, rewriting system, Fibonacci number | Discrete mathematics,Bicyclic semigroup,Combinatorics,Cancellative semigroup,Lattice (order),Polynomial,Algebra,Mealy machine,Semigroup,Square root of 5,Mathematics,Fibonacci number | Journal |
Volume | Issue | ISSN |
18 | 1 | 0218-1967 |
Citations | PageRank | References |
2 | 0.49 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Laurent Bartholdi | 1 | 27 | 8.74 |
| Illya I. Reznykov | 2 | 2 | 0.49 |