Abstract
Let R be a commutative Noetherian ring and I, J be ideals of R. We introduced the notion of (I; J)-cominimax R-modules. For an integer <TEX>$n$</TEX> and an R-module M, let <TEX>$H^i_{I,J}(M)$</TEX> be an (I; J)-cominimax R-module for all <TEX>$i</TEX><TEX><</TEX><TEX>n$</TEX>. The J-minimaxness of some Ext modules of <TEX>$H^n_{I,J}(M)$</TEX> is investigated. Among of the obtaining results, there is a generalization of the main result of [1].
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