2021•Ukrains’kyi Matematychnyi ZhurnalOpen access

Local cohomology modules and their properties

Jafar A’zami, Masoumeh Hasanzad

Abstract

UDC 512.5 Let 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

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Available abstract

Key concepts: Local cohomology, Local ring, Mathematics, Noetherian ring, Functor, Ideal (ethics), Noetherian, Pure mathematics