Free iterative and iteration K-semialgebras
Abstract
We consider algebras of rational power series over an alphabet $\Sigma$ with coefficients in a commutative semiring $K$ and characterize them as the free algebras in various classes of algebraic structures.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2010
- DOI:
- 10.48550/arXiv.1008.1507
- arXiv:
- arXiv:1008.1507
- Bibcode:
- 2010arXiv1008.1507E
- Keywords:
-
- Computer Science - Formal Languages and Automata Theory;
- 68Q45;
- 68Q70;
- 08B20