#12597 ⟨a, b | abba=bb, baab=b⟩

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 b is not injective:
- b ⋅ a²b = b and b ⋅ 1 = b, however a²b ≠ 1
Not right cancellative, because right multiplication by b is not injective:
- ba² ⋅ b = b and 1 ⋅ b = b, however ba² ≠ 1

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:abba=bb,baab=b ab - -
bba=abb
bbb=bb
aabb=bb
baab=b
babb=abb