  Generally, in any human field, a Smarandache Structure on a set A means a
weak structure W on A such that there exists a proper subset B contained in A
which is embedded with a stronger structure S.
  These types of structures occur in our everyday's life, that's why we study
them in this book.
  Thus, as a particular case:
  A Near-ring is a non-empty set N together with two binary operations '+' and
'.' such that (N, +) is a group (not necessarily abelian), (N, .) is a
semigroup. For all a, b, c belonging to N we have (a + b) . c = a . c + b . c
  A Near-field is a non-empty set P together with two binary operations '+' and
'.' such that (P, +) is a group (not-necessarily abelian), {P\{0}, .) is a
group. For all a, b, c belonging to P we have (a + b) . c = a . c + b . c
  A Smarandache Near-ring is a near-ring N which has a proper subset P
contained in N, where P is a near-field (with respect to the same binary
operations on N).
