On the primefulness of local cohomology modules

Authors

  • Payman Mahmood Hamaali Department of Mathematics, College of Science, University of Sulaimani
  • Adil Kadir Jabbar Department of Mathematics, College of Science, University of Sulaimani

DOI:

https://doi.org/10.54153/sjpas.2021.v3i1.243

Keywords:

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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Published

2021-09-24

How to Cite

Payman Mahmood Hamaali, & Adil Kadir Jabbar. (2021). On the primefulness of local cohomology modules. Samarra Journal of Pure and Applied Science, 3(1), 108–112. https://doi.org/10.54153/sjpas.2021.v3i1.243