#16318 ⟨a, b | aab=bb, babb=ab⟩

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 a is not injective:
- a ⋅ b³ = ab and a ⋅ b = ab, however b³ ≠ b
Not right cancellative, because right multiplication by b is not injective:
- a² ⋅ b = b² and b ⋅ b = b², however a² ≠ 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

# ab:aab=bb,babb=ab ab - -
aab=bb
bab=abb
abbb=ab
bbbb=bb

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

1 total

Σ	#	Presentation	Mapping
11	16326	⟨a, b \| aab=bb, bbab=ab⟩	φ(a) = a, φ(b) = b