Recently the strings and the string number of self-maps were used in the computation of the algebraic entropy of specific abelian group endomorphisms. We introduce two special kinds of strings, and their relative string numbers. We show that a dichotomy holds for all these three string numbers; in fact, they admit only zero and infinity as values on abelian group endomorphisms. © 2010 World Scientific Publishing Company.
|Journal||Journal of Algebra and its Applications|
|Publication status||Published - 1 Dec 2010|
- Algebraic entropy
- Bernoulli shift
- Generalized shift
- Quasi-periodic point
- String number