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Modules whose finiteness dimensions coincide with their cohomological dimensions

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 نشر من قبل Kamran Divaani-Aazar
 تاريخ النشر 2020
  مجال البحث
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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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