#13187 ⟨a, b | abb=aaa, bba=ab⟩

Properties

Sum of relation sides is 11
Infinite non-cancellative non-commutative monoid
Element b has infinite order
Not left cancellative, because left multiplication by b is not injective:
- b ⋅ b⁵a² = b⁴a² and b ⋅ b³a² = b⁴a², however b⁵a² ≠ b³a²
Not right cancellative, because right multiplication by a is not injective:
- a² ⋅ a = b⁴a and b⁴ ⋅ a = b⁴a, however a² ≠ b⁴

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:abb=aaa,bba=ab reversed:b/a - -
bbbbbbbba=bbbbbba
ab=bba
bbbbbbaa=bbbbaa
aaa=bbbba