#19758 ⟨a, b | aba=b, baaab=bb⟩

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 ⋅ a³b = b² and b ⋅ b = b², however a³b ≠ b
Not right cancellative, because right multiplication by b is not injective:
- ba³ ⋅ b = b² and b ⋅ b = b², however ba³ ≠ 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:aba=b,baaab=bb ab - -
aba=b
bba=abb
aabb=bab
baab=abb
baaab=bb