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〈a, b | aa=a, aba=b〉
Monoid presentation of length 7
Properties
- Infinite commutative monoid
- Isomorphic to commutative presentation: 〈a, b | 2b=b, a+b=a〉
- Grothendieck group is ℤ
Completion parameters
- Reduction order: left-to-right ab
Complete rewriting system
- a2 ⇒ a
- ab ⇒ b
- ba ⇒ b
Right Cayley graph (truncated)
Other isomorphic instances
8 total
| Length: | Presentation: |
|---|
| 8 | 〈a, b | aa=a, aaba=b〉 |
| 9 | 〈a, b | aa=a, aaaba=b〉 |
| 9 | 〈a, b | aa=a, aabaa=b〉 |
| 10 | 〈a, b | aa=a, aaaaba=b〉 |
| 10 | 〈a, b | aa=a, aaabaa=b〉 |
| 11 | 〈a, b | aa=a, aaaaaba=b〉 |
| 11 | 〈a, b | aa=a, aaaabaa=b〉 |
| 11 | 〈a, b | aa=a, aaabaaa=b〉 |