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〈a, b | ba=ab, aabb=aab〉
Monoid presentation of length 11
Properties
- Infinite commutative monoid
- Isomorphic to commutative presentation: 〈a, b | 2a+2b=a+2b〉
- Grothendieck group is ℤ
Completion parameters
- Reduction order: left-to-right ab
Complete rewriting system
- ba ⇒ ab
- a2b2 ⇒ a2b
Right Cayley graph (truncated)
Other isomorphic instances
9 total
| Length: | Presentation: |
|---|
| 11 | 〈a, b | ba=ab, aabb=aba〉 |
| 11 | 〈a, b | ba=ab, aabb=baa〉 |
| 11 | 〈a, b | ba=ab, abab=aab〉 |
| 11 | 〈a, b | ba=ab, abab=aba〉 |
| 11 | 〈a, b | ba=ab, abab=baa〉 |
| 11 | 〈a, b | ba=ab, abba=aab〉 |
| 11 | 〈a, b | ba=ab, abba=aba〉 |
| 11 | 〈a, b | ba=ab, abba=abb〉 |
| 11 | 〈a, b | ba=ab, abba=bab〉 |