#13247 ⟨a, b | bab=aaa, bba=bb⟩

Properties

Sum of relation sides is 11
Infinite non-cancellative non-commutative monoid
Element ba² has infinite order
Not left cancellative, because left multiplication by b is not injective:
- b ⋅ ba = b² and b ⋅ b = b², however ba ≠ b
Not right cancellative, because right multiplication by b is not injective:
- ab ⋅ b = b² and b ⋅ b = b², however ab ≠ b

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:bab=aaa,bba=bb ba - -
bba=bb
abb=bb
aaa=bab
bbbb=bb
abab=baba
babaab=bbb