Abstract: Let M be a
matroid of rank r on an n-set,
which is not direct sum of other matroids. In this paper, we prove that it is
possible to determine a sequence of bases of M
and a sequence of matroids where for coincides
with the base matroid and such that
last matroid coincides with the uniform matroidThis process is called
the extension of M to
Keywords and phrases: matroid, base, base matroid, direct sum of matroids.
