#5628 ⟨a, b, c | aa=a, abc=ba⟩

Properties

Sum of relation sides is 8
Infinite non-cancellative non-commutative monoid
Element ac 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 a is not injective:
- a ⋅ a = a and 1 ⋅ a = a, 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,abc=ba adbc ab=d morph:2/1
aa=a
ad=d
ab=d
dc=da
ba=da
bd=dd