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〈a, b | aab=b, aba=b〉
Monoid presentation of length 8
Properties
- Infinite commutative monoid
- Isomorphic to commutative presentation: 〈a, b | a+2b=a〉
- Grothendieck group is ℤ2 ⊕ ℤ
Completion parameters
- Reduction order: left-to-right ab
Complete rewriting system
- ba ⇒ ab
- a2b ⇒ b
Right Cayley graph (truncated)
Other isomorphic instances
10 total
| Length: | Presentation: |
|---|
| 8 | 〈a, b | ba=ab, aab=b〉 |
| 8 | 〈a, b | ba=ab, aba=b〉 |
| 10 | 〈a, b | aab=b, aaaba=b〉 |
| 10 | 〈a, b | aba=b, aaaba=b〉 |
| 10 | 〈a, b | aab=b, aaab=ba〉 |
| 10 | 〈a, b | aab=b, aaba=ab〉 |
| 10 | 〈a, b | aba=b, aaab=ab〉 |
| 10 | 〈a, b | aba=b, aaba=ba〉 |
| 10 | 〈a, b | aab=b, aba=aab〉 |
| 10 | 〈a, b | aba=b, baa=aba〉 |