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〈a, b | ba=ab, bb=b〉
Monoid presentation of length 7
Properties
- Infinite commutative monoid
- Isomorphic to commutative presentation: 〈a, b | 2b=b〉
- Grothendieck group is ℤ
Completion parameters
- Reduction order: left-to-right ab
Complete rewriting system
- ba ⇒ ab
- b2 ⇒ b
Right Cayley graph (truncated)
Other isomorphic instances
8 total
| Length: | Presentation: |
|---|
| 8 | 〈a, b | aa=a, aab=ba〉 |
| 9 | 〈a, b | aa=a, aaab=ba〉 |
| 9 | 〈a, b | aa=a, baa=aab〉 |
| 10 | 〈a, b | aa=a, aaaab=ba〉 |
| 10 | 〈a, b | aa=a, aaab=baa〉 |
| 11 | 〈a, b | aa=a, aaaaab=ba〉 |
| 11 | 〈a, b | aa=a, aaaab=baa〉 |
| 11 | 〈a, b | aa=a, baaa=aaab〉 |