Projects per year
Abstract
We define the notion of the partial order of ends of the Cayley graph of a semigroup. We prove that the structure of the ends of a semigroup is invariant under change of finite generating set and at the same time is inherited by subsemigroups and extensions of finite Rees index. We prove an analogue of Hopf's Theorem, stating that a group has 1, 2 or infinitely many ends, for left cancellative semigroups and that the cardinality of the set of ends is invariant in subsemigroups and extension of finite Green index in left cancellative semigroups.
Original language | English |
---|---|
Pages (from-to) | 330-346 |
Number of pages | 17 |
Journal | Semigroup Forum |
Volume | 93 |
Issue number | 2 |
Early online date | 27 Jul 2016 |
DOIs | |
Publication status | Published - Oct 2016 |
Keywords
- Digraph
- Ends
- Cayley graph
Fingerprint
Dive into the research topics of 'Ends of semigroups'. Together they form a unique fingerprint.Projects
- 2 Finished
-
Theory of Semigroups: Representation theory of Semigroups
Ruskuc, N. (PI)
1/04/12 → 30/09/15
Project: Standard
-
Automata Languages Decidability: Automata, Languages, Decidability in Algebra
Ruskuc, N. (PI) & Quick, M. (CoI)
1/03/10 → 31/05/14
Project: Standard