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〈a, b | aaa=ab, babb=a〉
Monoid presentation of length 10
Properties
- Infinite commutative monoid
- Isomorphic to commutative presentation: 〈a, b | 3b=a+b, 3a+b=b〉
- Grothendieck group is ℤ6
Completion parameters
- Reduction order: left-to-right a/b
Complete rewriting system
- a7 ⇒ a
- ba ⇒ a3
- ab ⇒ a3
Right Cayley graph (truncated)
Other isomorphic instances
6 total
| Length: | Presentation: |
|---|
| 11 | 〈a, b | aaba=b, ababb=b〉 |
| 11 | 〈a, b | aaba=b, abbab=b〉 |
| 11 | 〈a, b | aaba=b, abbba=b〉 |
| 11 | 〈a, b | aaa=ab, baaab=a〉 |
| 11 | 〈a, b | aaa=ab, baaba=a〉 |
| 11 | 〈a, b | aaa=ab, babaa=a〉 |