  A linear ball is a simplicial complex whose geometric realization is
homeomorphic to a ball and whose Stanley--Reisner ring has a linear resolution.
It turns out that the Stanley--Reisner ring of the sphere which is the boundary
complex of a linear ball satisfies the multiplicity conjecture. A class of
shellable spheres arising naturally from commutative algebra whose
Stanley--Reisner rings satisfy the multiplicity conjecture will be presented.
