#16073 ⟨a, b | aaa=bb, baab=bb⟩

Properties

Sum of relation sides is 11
Infinite non-cancellative non-commutative monoid
Element ba has infinite order
Not left cancellative, because left multiplication by b is not injective:
- b ⋅ a²b = b² and b ⋅ b = b², however a²b ≠ b
Not right cancellative, because right multiplication by b is not injective:
- ba² ⋅ b = b² and b ⋅ b = b², however ba² ≠ 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:aaa=bb,baab=bb ab - -
aaa=bb
bba=abb
baab=bb
babb=abbb
aabbb=bbb
bbbbb=abbb