Open AccessOn the primefulness of local cohomology modules
Author(s) -
Payman Mahmood Hamaali,
Adil Kadir Jabbar
Publication year - 2021
Publication title -
mağallaẗ sāmarrāʾ al-ʿulūm al-ṣirfaẗ wa-al-taṭbīqiyyaẗ
Language(s) - English
Resource type - Journals
eISSN - 2789-6838
pISSN - 2663-7405
DOI - 10.54153/sjpas.2021.v3i1.243
Subject(s) - mathematics , multiplication (music) , pure mathematics , flat module , commutative ring , projective module , commutative property , resolution (logic) , noetherian ring , ideal (ethics) , zero (linguistics) , integral domain , noetherian , projective test , discrete mathematics , algebra over a field , combinatorics , computer science , field (mathematics) , philosophy , linguistics , epistemology , artificial intelligence
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).