Multipliers on a nearlattice
A. S. A. Noor, William H. Cornish · Czech digital mathematics library · 1986
A nearlattice is a lower semilattice in which any two elements have a supremum whenever they are bounded above.Here we generalize the con cept of direct summand to nearlattices and show that the direct summands of a nearlattice S with 0 are precisely the central elements of J(S), the lattice of ideals.Then we discuss multipliers (meet translations) on nearlattices.