#16052 ⟨a, b | aaa=bb, aaba=aa⟩

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 a is not injective:
- a ⋅ aba = a² and a ⋅ a = a², however aba ≠ a
Not right cancellative, because right multiplication by a is not injective:
- a²b ⋅ a = a² and a ⋅ a = a², however a²b ≠ 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:aaa=bb,aaba=aa b/a - -
bbbbbbb=bb
abb=bbbbbb
bba=bbbbbb
aaa=bb
aaba=aa