We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Takahasi semigroups.
- Authors
Branco, Mário J. J.; Gomes, Gracinda M. S.; Silva, Pedro V.
- Abstract
Takahasi's Theoremon chains of subgroups of bounded rank in a free group is generalized to several classes of semigroups. As an application, it is proved that the subsemigroups of periodic points are finitely generated and periodic orbits are bounded for arbitrary endomorphisms for various semigroups. Some of these results feature classes such as completely simple semigroups, Clifford semigroups or monoids defined by balanced one-relator presentations.
- Subjects
MONOIDS; FREE groups; GROUP theory; CLIFFORD algebras; SEMIGROUPS (Algebra); ENDOMORPHISMS
- Publication
Forum Mathematicum, 2017, Vol 29, Issue 5, p1145
- ISSN
0933-7741
- Publication type
Article
- DOI
10.1515/forum-2015-0059