#16290 ⟨a, b | aab=bb, abaa=ab⟩

Properties

Sum of relation sides is 11
Infinite non-cancellative non-commutative monoid
Element a has infinite order
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ ba² = ab and a ⋅ b = ab, however ba² ≠ b
Not right cancellative, because right multiplication by b is not injective:
- b ⋅ b = a²b and a² ⋅ b = a²b, however b ≠ a²

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:aab=bb,abaa=ab a/b - -
abaa=ab
aaaaab=aaab
bb=aab
baab=aaaab
baaaab=aaaab