#16380 ⟨a, b | aba=ab, aaab=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 a is not injective:
- a ⋅ ba = ab and a ⋅ b = ab, however ba ≠ b
Not right cancellative, because right multiplication by b is not injective:
- a³ ⋅ b = b² and b ⋅ b = b², however a³ ≠ 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=ab,aaab=bb ab - -
aba=ab
bba=bb
aaab=bb
abbb=abb
bbbb=bbb