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〈a, b | ba=ab, aaab=b〉
Monoid presentation of length 9
Properties
- Infinite commutative monoid
- Isomorphic to commutative presentation: 〈a, b | a+3b=a〉
- Grothendieck group is ℤ3 ⊕ ℤ
Completion parameters
- Reduction order: left-to-right ab
Complete rewriting system
- ba ⇒ ab
- a3b ⇒ b
Right Cayley graph (truncated)
Other isomorphic instances
6 total
| Length: | Presentation: |
| 9 | 〈a, b | ba=ab, aaba=b〉 |
| 10 | 〈a, b | aaab=b, aaba=b〉 |
| 10 | 〈a, b | aaba=b, abaa=b〉 |
| 11 | 〈a, b | aba=aab, aaab=b〉 |
| 11 | 〈a, b | aba=aab, aaba=b〉 |
| 11 | 〈a, b | aba=aab, abaa=b〉 |