We call ring R a right SA-ring if for any ideals I and J of R there is an ideal K of R such that . This class of rings is exactly the class of rings for which the lattice of right annihilator ideals is a sublattice of the lattice of ideals. The class of right SA-rings includes all quasi-Baer rings and all left IN-rings. This class is closed under direct products, full and upper triangular matrix rings, certain polynomial rings. The right SA-ring property is a Morita invariant.
