In a lattice, any two elements and
have a least upper bound. This least upper bound is often called the join of
and
, and is denoted by
.
One can also speak of the join operation in a general partially ordered set. If and
are two elements in some partially ordered set
, and if there is a smallest element (with respect
to the given order)
with the property that
and
, then
is said to be the join of
and
.