Squarefree elements of monoids #
An element of a monoid is squarefree when it is not divisible by any squares
except the squares of units.
Results about squarefree natural numbers are proved in
Main Definitions #
squarefree r indicates that
r is only divisible by
x * x if
x is a unit.
Main Results #
An element of a monoid is squarefree if the only squares that
divide it are the squares of units.