#15603 ⟨a, b | aab=aa, bbbab=a⟩

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 ⋅ ab = a² and a ⋅ a = a², however ab ≠ a
Not right cancellative, because right multiplication by a is not injective:
- (ab)² ⋅ a = aba² and aba ⋅ a = aba², however (ab)² ≠ aba

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:aab=aa,bbbab=a ab - -
aab=aa
ababa=abaa
ababb=abab
bbbaa=abbab
bbbab=a
abbaba=abbaa
abbabb=abbab