#2322 ⟨a, b | ababaab=aab⟩

Properties

Sum of relation sides is 10
Infinite non-cancellative non-commutative monoid
Element a has infinite order
Not left cancellative, because left multiplication by c is not injective:
- c ⋅ bcbc² = c² and c ⋅ c = c², however bcbc² ≠ c
Not right cancellative, because right multiplication by c is not injective:
- a ⋅ c = c² and c ⋅ c = c², however a ≠ c

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:ababaab=aab cab ababa=c morph:5/1
ac=cc
aab=cab
abc=cba
ababa=c
cbcbcc=cc
cbcbcab=cab