#13210 ⟨a, b | abb=aba, bab=aa⟩

Properties

Sum of relation sides is 11
Infinite non-cancellative non-commutative monoid
Element b has infinite order
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ ba = ab² and a ⋅ b² = ab², however ba ≠ b²
Not right cancellative, because right multiplication by b is not injective:
- ab² ⋅ b = bab² and bab ⋅ b = bab², however ab² ≠ bab

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,bab=aa reversed:b/a - -
bbbabb=bbabb
abbb=babb
aa=bab
aba=abb
abba=bbabb