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- Title
Automatic Semigroups Producing an Automaton Semigroup.
- Authors
Panbehkar, Bozorg; Doostie, Hossein
- Abstract
For a finitely generated semigroup S which is right-left automatic (or rightright automatic) we define a new semigroup SL (or LS) of regular languages. Some properties of these semigroups have been studied in this paper and certain relations have been discovered between the theory of automatic semigroups and the automaton semigroup theory. In particular, for a self-automaton semigroup S we prove that the semigroup SL is isomorphic to the Cayley automaton semigroup Σ(C(S)).
- Subjects
SEMIGROUPS (Algebra); GROUP theory; ABELIAN semigroups; WEIERSTRASS semigroups; EPIPHENOMENALISM
- Publication
Southeast Asian Bulletin of Mathematics, 2018, Vol 42, Issue 2, p243
- ISSN
0129-2021
- Publication type
Article