#16167 ⟨a, b | aab=ab, abab=ba⟩

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 ⋅ ab = ab and a ⋅ b = ab, however ab ≠ b
Not right cancellative, because right multiplication by b is not injective:
- a² ⋅ b = ab and a ⋅ b = ab, however a² ≠ 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:aab=ab,abab=ba ab - -
aab=ab
aba=ba
baa=ba
bab=ba
bba=ba