On the local-global principles for the $CD_{ < n}$ of local cohomology modules
نویسندگان
1 Department of Basic Sciences, Arak University of Technology, P. O. Box 38135-1177, Arak, Iran.
2 Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.
doi
10.22034/as.2021.1969چکیده
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].
