#16055 ⟨a, b | aaa=bb, aaba=bb⟩

Properties

Sum of relation sides is 11
Infinite non-cancellative non-commutative monoid
Element ab has infinite order
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ aba = a³ and a ⋅ a² = a³, however aba ≠ a²
Not right cancellative, because right multiplication by a is not injective:
- a²b ⋅ a = a³ and a² ⋅ a = a³, however a²b ≠ 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:aaa=bb,aaba=bb reversed:a/b - -
aaaaaaa=aaaa
aaaab=aaaa
aaba=aaa
baaa=aaab
bb=aaa