#16441 ⟨a, b | aba=bb, aaab=ab⟩

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 ⋅ a²b = ab and a ⋅ b = ab, however a²b ≠ b
Not right cancellative, because right multiplication by b is not injective:
- a³ ⋅ b = ab and a ⋅ b = ab, however a³ ≠ 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:aba=bb,aaab=ab reversed:a/b - -
aaab=ab
bb=aba
baba=abab
abaabaaa=abaaba
baabab=abaabaa
baabaaba=abaabaab