Abstract :
We show that if R is a Strong Mori domain (SM domain) and T is a w-overdomain of R such that Tsubset of or equal toRwg, then T is an SM domain; if R is an SM domain, then image is an SM domain for any generalized multiplicative system image of R. Finally, we give an example such that an intersection with finiteness condition of SM domains is not an SM domain.
