Factorization properties of quotients of polynomial and power series rings by monomial ideals

Suppose that K is a field, S=K[x1, horizontal ellipsis ,xn] or S=K[[x1, horizontal ellipsis ,xn]] and I is a monomial ideal of S. We study factorization properties of the ring R=S/I . In particular, we present conditions equivalent to R being presimplifiable, a bounded factorization ring, a finite factorization ring or a unique factorization ring.