#15901 ⟨a, b | aba=ab, bbbba=a⟩

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 a is not injective:
- a ⋅ ba = ab and a ⋅ b = ab, however ba ≠ b
Not right cancellative, because right multiplication by a is not injective:
- b⁴ ⋅ a = a and 1 ⋅ a = a, however b⁴ ≠ 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

# ab:aba=ab,bbbba=a b/a - -
abbbbb=ab
bbbba=a
aa=abbbb
aba=ab
abba=abb
abbba=abbb