#4165 ⟨a, b | abb=aba, baa=b⟩

Properties

Sum of relation sides is 10
Infinite non-cancellative non-commutative monoid
Element a has infinite order
Not left cancellative, because left multiplication by b is not injective:
- b ⋅ a² = b and b ⋅ 1 = b, however a² ≠ 1
Not right cancellative, because right multiplication by b is not injective:
- aba ⋅ b = ab and a ⋅ b = ab, however aba ≠ a

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:abb=aba,baa=b ab - -
abb=aba
baa=b
bbb=bba
abab=ab
bbab=bb