Abstract
Let M be a Clifford monoid and let theta be an endomorphism of M. We prove that if the Bruck-Reilly extension BR(M,theta) is finitely presented then M is finitely generated. This allows us to derive necessary and sufficient conditions for Bruck-Reilly extensions of Clifford monoids to be finitely presented.
| Original language | English |
|---|---|
| Pages (from-to) | 801-814 |
| Number of pages | 14 |
| Journal | Journal of Algebra and Its Applications |
| Volume | 6 |
| DOIs | |
| Publication status | Published - Oct 2007 |
Keywords
- generators
- defining relations
- semilattice
- group
- Clifford semigroup
- Bruck-Reilly extension
- SEMIGROUPS
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