#3578 ⟨a, b, c | ac=ab, ca=bb⟩

Properties

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

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:ac=ab,ca=bb bac - -
ac=ab
ca=bb
bbc=bbb
aba=abb
bbba=bbbb