#16289 ⟨a, b | aab=bb, abaa=aa⟩

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 ⋅ ba² = a² and a ⋅ a = a², however ba² ≠ a
Not right cancellative, because right multiplication by b is not injective:
- a² ⋅ b = b² and b ⋅ b = b², however a² ≠ 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:aab=bb,abaa=aa b/a - -
bbbbb=bb
abb=bbbb
aab=bb
aaa=bbaa
abaa=aa