Open AccessLocal cohomology modules and their properties
Author(s) -
Jafar A’zami,
Masoumeh Hasanzad
Publication year - 2021
Publication title -
ukraïnsʹkij matematičnij žurnal
Language(s) - English
Resource type - Journals
ISSN - 1027-3190
DOI - 10.37863/umzh.v73i2.127
Subject(s) - local cohomology , local ring , mathematics , noetherian ring , functor , ideal (ethics) , noetherian , pure mathematics , regular local ring , dimension (graph theory) , algebra over a field , ring (chemistry) , discrete mathematics , finitely generated abelian group , philosophy , chemistry , organic chemistry , epistemology
UDC 512.5Let be a complete Noetherian local ring and let be a generalized Cohen-Macaulay -module of dimension We show thatwhere and is the ideal transform functor. Also, assuming that is a proper ideal of a local ring , we obtain some results on the finiteness of Bass numbers, cofinitness, and cominimaxness of local cohomology modules with respect to