#12902 ⟨a, b | aab=aaa, babb=a⟩

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 = a³ and a ⋅ a² = a³, however ab ≠ a²
Not right cancellative, because right multiplication by a is not injective:
- ba ⋅ a = a³ and a² ⋅ a = a³, however ba ≠ a²

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=aaa,babb=a ab - -
aab=aaa
baa=aaa
baba=aaaa
babb=a
aaaaaa=aaa