〈a, b | aaa=ab, abb=aa〉

Monoid presentation of length 10

Properties

Infinite non-commutative monoid

Completion parameters

Reduction order: left-to-right a/b

Complete rewriting system

a⁵ ⇒ a²
ab ⇒ a³

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other isomorphic instances

3 total

Length:	Presentation:
11	〈a, b \| aaa=ab, aaab=aa〉
11	〈a, b \| aaa=ab, aaba=aa〉
11	〈a, b \| aaa=ab, abaa=aa〉

Other anti-isomorphic instances

2 total

Length:	Presentation:
11	〈a, b \| aab=bb, aabb=ab〉
11	〈a, b \| aab=bb, baab=ab〉