“…In particular, if I is a cohomologically complete interesection ideal (i.e., H i I (R) = 0 for all i = g := grade R (I)), then 0 : R H g I (R) = 0 (see [ If R is unmixed and √ I = m, then 0 : R H d I (R) = 0; the converse holds provided R is, in addition, complete (see [Lyn12,Theorem 2.4 and Corollary 2.5] and [ES12, Theorem 4.2(a)]). (vi) It is worth noting here that there are also several nice results concerning the annihilators of local cohomology modules H i I (M ), where M is a finitely generated R-module; the interested reader may like to consult [BAG12], [ASN14] and [ASN15] for further details. One of the motivations of this paper was to understand a bit better the structure of annihilators of local cohomology modules in mixed characteristic; in particular, in this mixed characteristic setting we have as guide the following:…”