Let R be a commutative ring. A polynomial f is an element of R[X] is an annihilating content (AC) polynomial if f = ag where a is an element of R and g is an element of R[X] is a nonzerodivisor and R is an EM-ring if each f is an element of R[X] is an AC polynomial. In this paper, we investigate AC polynomials and EM-rings and extensions to modules. For example, we show that R is an EM-ring if and only if every linear polynomial is an AC polynomial if and only if for each finitely generated ideal I of R, I = aJ where a is an element of R and J is a finitely generated ideal of R with (0 : J) = 0. Special attention is given to the case when R is Noetherian where such rings are characterized by the property that each associated prime is principal.
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