#13255 ⟨a, b | bab=aba, bba=aa⟩

Properties

Sum of relation sides is 11
Infinite non-cancellative non-commutative monoid
Element b has infinite order
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ ab = aba² and a ⋅ ba² = aba², however ab ≠ ba²
Not right cancellative, because right multiplication by a is not injective:
- b² ⋅ a = a² and a ⋅ a = a², however b² ≠ 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:bab=aba,bba=aa a/b - -
aaaaa=aaaa
baaa=aaaa
aab=abaa
bba=aa
bab=aba