#5622 ⟨a, b, c | aa=a, abb=ca⟩

Properties

Sum of relation sides is 8
Infinite non-cancellative non-commutative monoid
Element ba has infinite order
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ a = a and a ⋅ 1 = a, however a ≠ 1
Not right cancellative, because right multiplication by d is not injective:
- a ⋅ d = d and 1 ⋅ d = d, however a ≠ 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

# abc:aa=a,abb=ca dcab ac=d morph:2/1
cd=dd
ca=da
ad=d
ac=d
aa=a
abb=da