#20189 ⟨a, b | aba=a, aaab=bbb⟩

Properties

Sum of relation sides is 11
Infinite non-cancellative non-commutative monoid
Element ba²b has infinite order
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ ba = a and a ⋅ 1 = a, however ba ≠ 1
Not right cancellative, because right multiplication by a is not injective:
- ab ⋅ a = a and 1 ⋅ a = a, however ab ≠ 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:aba=a,aaab=bbb a/b - -
aaaaaaaa=aaa
baaa=aaaaaaa
aba=a
aaabb=aaaaaaab
bbb=aaab