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〈a, b | aab=a, babbbb=a〉
Monoid presentation of length 11
Properties
- Infinite commutative monoid
- Isomorphic to commutative presentation: 〈a, b | a+2b=b, 4b=2a+b, 3a+b=3b〉
- Grothendieck group is ℤ5
Completion parameters
- Reduction order: left-to-right a/b
Complete rewriting system
- a6 ⇒ a
- ba ⇒ a5
- ab ⇒ a5
Right Cayley graph (truncated)
Other isomorphic instances
5 total
| Length: | Presentation: |
|---|
| 11 | 〈a, b | aab=a, aaaaa=ba〉 |
| 11 | 〈a, b | aab=a, babbb=aa〉 |
| 11 | 〈a, b | aab=a, aaaa=bab〉 |
| 11 | 〈a, b | aab=a, babb=aaa〉 |
| 11 | 〈a, b | aba=a, aaaa=bab〉 |