Abstract :
In this article, we give several generalizations of the
concept of annihilating an ideal graph over a commutative ring
with identity to modules. We observe that, over a commutative
ring, R, AG(RM) is connected, and diamAG(RM) ? 3. More-
over, if AG(RM) contains a cycle, then grAG(RM) ? 4. Also
for an R-module M with A(M) ?= S(M) \ {0}, A(M) = ?, if and
only if M is a uniform module, and ann(M) is a prime ideal of R.
