Closure operations and semigroups of quotients
John K. Luedeman · Czech digital mathematics library · 1979
Abatract; The semigroup of quotients of a monoid S with 0 is constructed by means of a closure operation c on the lattice of left ideals of S. The lattice of closure operations on L is isomorphic to the lattice of left quotient filters 2L on S.These closure operations enable one to describe Green's relation L on Q(S).