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〈a, b | aab=a, baa=a〉
Monoid presentation of length 8
Properties
- Infinite commutative monoid
- Isomorphic to commutative presentation: 〈a, b | a+2b=b〉
- Grothendieck group is ℤ
Completion parameters
- Reduction order: left-to-right ab
Complete rewriting system
- ba ⇒ ab
- a2b ⇒ a
Right Cayley graph (truncated)
Other isomorphic instances
14 total
| Length: | Presentation: |
|---|
| 8 | 〈a, b | ba=ab, aab=a〉 |
| 8 | 〈a, b | ba=ab, aba=a〉 |
| 10 | 〈a, b | aba=aab, baa=a〉 |
| 10 | 〈a, b | aab=a, baaab=a〉 |
| 10 | 〈a, b | aab=a, baaba=a〉 |
| 10 | 〈a, b | aab=a, babaa=a〉 |
| 10 | 〈a, b | aba=a, baaab=a〉 |
| 10 | 〈a, b | aab=a, aabb=ba〉 |
| 10 | 〈a, b | aab=a, abab=ba〉 |
| 10 | 〈a, b | aab=a, baaa=aa〉 |
| 10 | 〈a, b | aab=a, baab=ab〉 |
| 10 | 〈a, b | aab=a, baba=ab〉 |
| 10 | 〈a, b | aba=a, abab=ba〉 |
| 10 | 〈a, b | aab=a, baa=aab〉 |