#5363 ⟨a, b | aab=aa, baa=ba⟩

Properties

Sum of relation sides is 10
Infinite non-cancellative non-commutative monoid
Element b has infinite order
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ ab = a² and a ⋅ a = a², however ab ≠ a
Not right cancellative, because right multiplication by a is not injective:
- ba ⋅ a = ba and b ⋅ a = ba, however ba ≠ 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=aa,baa=ba ab - -
aab=aa
baa=ba
bab=ba
aaaa=aaa

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

1 total

Σ	#	Presentation	Mapping
11	16119	⟨a, b \| aab=aa, baab=ba⟩	φ(a) = a, φ(b) = b