Projects per year
Abstract
The monogenic free inverse semigroup FI1 is not finitely presented as a semigroup due to the classic result by Schein (1975). We extend this result and prove that a finitely generated subsemigroup of FI1 is finitely presented if and only if it contains only finitely many idempotents. As a consequence, we derive that an inverse subsemigroup of FI1 is finitely presented as a semigroup if and only if it is a finite semilattice.
Original language | English |
---|---|
Number of pages | 12 |
Journal | Glasgow Mathematical Journal |
Volume | FirstView |
Early online date | 28 Nov 2024 |
DOIs | |
Publication status | E-pub ahead of print - 28 Nov 2024 |
Keywords
- Free inverse semigroup
- Monogenic
- Subsemigroup
- Finite presentation
- Idempotents
Fingerprint
Dive into the research topics of 'On finite presentability of subsemigroups of the monogenic free inverse semigroup'. Together they form a unique fingerprint.Projects
- 1 Finished
-
Right Noetherian and coherent monoids: Right Noetherian and coherent monoids
Ruskuc, N. (PI)
1/01/21 → 31/12/23
Project: Standard