TY - JOUR ID - 1970 TI - On the local-global principles for the $CD_{ < n}$ of local cohomology modules JO - Algebraic Structures and Their Applications JA - AS LA - en SN - 2382-9761 AU - Hatamkhani, Marziyeh AU - Roshan-Shekalgourabi, Hajar AD - Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran. AD - Department of Basic Sciences, Arak University of Technology, P. O. Box 38135-1177, Arak, Iran. Y1 - 2021 PY - 2021 VL - 8 IS - 2 SP - 1 EP - 15 KW - $CD_{ < n}$ $R$-modules KW - local cohomology modules KW - Local-global principle DO - 10.22034/as.2021.1969 N2 - The concept of Faltings' local-global principle for $CD_{ < n}$ of local cohomology modules over a Noetherian ring $R$ is introduced, and it is shown that this principle holds at levels 1, 2 over local rings. We also establish the same principle at all levels over an arbitrary Noetherian local ring of dimension not exceeding 3. These generalize the main results of Brodmann et al. in [9]. UR - https://as.yazd.ac.ir/article_1970.html L1 - https://as.yazd.ac.ir/article_1970_886b32f5c728696aad4df960ca668ec3.pdf ER -