#20217 ⟨a, b | aba=a, abba=abb⟩

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 c is not injective:
- c ⋅ c = c and c ⋅ 1 = c, however c ≠ 1
Not right cancellative, because right multiplication by a is not injective:
- c ⋅ a = a and 1 ⋅ a = a, however c ≠ 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,abba=abb acb ab=c morph:2/1
ab=c
ca=a
cc=c
cba=cb
cbb=cbc