#3422 ⟨a, b, c | ba=ab, aca=a⟩

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 ⋅ ca = a and a ⋅ 1 = a, however ca ≠ 1
Not right cancellative, because right multiplication by a is not injective:
- ac ⋅ a = a and 1 ⋅ a = a, however ac ≠ 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:ba=ab,aca=a adbc bca=d morph:3/1
ab=ad
db=dd
ba=ad
ada=aad
aca=a
dda=dad
dca=d
bca=d