#3743 ⟨a, b | abaabbaaba=a⟩

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 ⋅ (ba²b)²a = a and a ⋅ 1 = a, however (ba²b)²a ≠ 1
Not right cancellative, because right multiplication by a is not injective:
- a(ba²b)² ⋅ a = a and 1 ⋅ a = a, however a(ba²b)² ≠ 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:abaabbaaba=a ab - -
abaabbaa=aabbaaba
abbaababa=ababaabba
aababaabba=a