On the primefulness of local cohomology modules
DOI:
https://doi.org/10.54153/sjpas.2021.v3i1.243Keywords:
Local cohomology modules, Minimax modules, Primeful modules.Abstract
Let be a commutative Noetherian ring with identity For a non-zero module . We prove that a multiplication primeful module and are I-cofinite and primeful, for each where is an ideal of with . As a consequence, we deduce that, if and are multiplication primeful R- modules, then is primeful. Another result is, for a projective module over an integral domain, admits projective resolution such that each is primeful (faithfully flat).
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