  We present in this paper a universal method of constructing left-continuous
triangular norms (l.-c. t-norms). The starting point is an arbitrary, possibly
finite, totally ordered monoid fulfilling the conditions that are
characteristic for l.-c. t-norms: commutativity, negativity, and quanticity. We
show that, under suitable conditions, we can extend this structure by
substituting each element for a real interval. The process can be iterated and
if the final structure obtained in this way is order-isomorphic to a closed
real interval, its monoidal operation can, up to isomorphism, be identified
with a l.-c. t-norm.
  We specify the constituents needed for the construction in an explicit way.
We furthermore illustrate the method on the basis of a number of examples.
