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Marziyeh Hatamkhani

Marziyeh Hatamkhani

Academic rank: Assistant Professor
ORCID: https://orcid.org/0000-0003-1021-2827
Education: PhD.
ScopusId: 55647016200
Faculty: Science
Address: Arak University
Phone:

Research

Title
DUAL OF FALTINGS’ THEOREMS ON FINITENESS OF LOCAL COHOMOLOGY
Type
JournalPaper
Keywords
Artinianness dimension, finiteness dimension, local cohomology modules, local homology modules, Matlis duality
Year
2019
Journal JP Journal of Algebra, Number Theory and Applications
DOI
Researchers Marziyeh Hatamkhani

Abstract

Let R be a commutative Noetherian ring and a be an ideal of R. We intend to establish the dual of two Faltings’ Theorems for local homology modules of an Artinian module. As a consequence of this, we show that, if A is an Artinian module over a complete semi-local ring R and j is an integer such that Hi (A) a is Artinian for all i < j, then the set CoassR(H j (A)) a is finite.