Back
〈a, b | aaa=ab, baab=a〉
Monoid presentation of length 10
Properties
- Infinite commutative monoid
- Isomorphic to commutative presentation: 〈a, b | 3b=a+b, 2a+2b=b, 3a+b=2b〉
- Grothendieck group is ℤ5
Completion parameters
- Reduction order: left-to-right a/b
Complete rewriting system
- a6 ⇒ a
- ba ⇒ a3
- ab ⇒ a3
Right Cayley graph (truncated)
Other isomorphic instances
9 total
| Length: | Presentation: |
|---|
| 10 | 〈a, b | aaa=ab, baba=a〉 |
| 11 | 〈a, b | aaab=bb, abba=b〉 |
| 11 | 〈a, b | aaba=bb, abab=b〉 |
| 11 | 〈a, b | aaba=bb, abba=b〉 |
| 11 | 〈a, b | abab=a, baaaa=a〉 |
| 11 | 〈a, b | abba=b, abbbb=b〉 |
| 11 | 〈a, b | abba=b, babbb=b〉 |
| 11 | 〈a, b | abba=b, bbabb=b〉 |
| 11 | 〈a, b | aaa=ab, baaaa=a〉 |