#19268 ⟨a, b | aaa=a, ababa=bb⟩

Properties

Sum of relation sides is 11
Infinite non-cancellative non-commutative monoid
Element ba² has infinite order
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ a² = a and a ⋅ 1 = a, however a² ≠ 1
Not right cancellative, because right multiplication by a is not injective:
- a² ⋅ a = a and 1 ⋅ a = a, however a² ≠ 1

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:aaa=a,ababa=bb ab - -
aaa=a
aabb=bb
bbaa=bb
bbba=abbb
ababa=bb
ababbb=bbabb
abbabb=babbb
bbabba=abbbb