#10027 ⟨a, b | aa=1, abbbbb=bb⟩

Properties

Sum of relation sides is 10
Infinite non-cancellative non-commutative monoid
Element ba has infinite order
Not right cancellative, because right multiplication by b is not injective:
- b⁴ ⋅ b = ab² and ab ⋅ b = ab², however b⁴ ≠ ab

Format:	Pretty Plain
Word:
	Enter a word above to compute its normal form. Tips: Lowercase letters stand for generators. Spaces are ignored. Numbers repeat the previous letter, e.g. `b90`.
Strategy:	Leftmost Rightmost
Result:	1 1

# ab:aa=1,abbbbb=bb ab - -
aa=1
babb=abbb
bbbbb=abb

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

1 total

Σ	#	Presentation	Mapping
10	10341	⟨a, b \| aa=1, bbbbb=abb⟩	φ(a) = a, φ(b) = b