Around a neutral element in a nearlattice
A. S. A. Noor, William H. Cornish · Czech digital mathematics library · 1987
Nearlattices, or lower semilattices in which any two elements have a supremum whenever they are bounded above, provide an interesting generalization of lattices.In this context, we define different types of elements in a nearlattice S and then for a fixed element n, using the ternary operation J , study the behaviour of S =(S;n) where x r.y = (x A y ) \'(x A n) v v (y A n); x , y 6 S .