Abstract
Let a be an ideal of a commutative Noetherian ring R with identity. We study finitely generated R -modules M whose a -finiteness and a -cohomological dimensions are equal. In particular, we examine relative analogues of quasi-Buchsbaum, Buchsbaum and surjective Buchsbaum modules. We reveal several interactions between these types of modules that extend some of the existing results in the classical theory to the relative one.
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