2070

some results on local cohomology modules with respect to a system of ideal

دكتري تخصصي

رياضي محض گرايش جبر

مركز تحصيلات تكميلي

1403

1403/06/25

دكتر سعادت ا... فرامرزي

Annihilators, Associated primes, Attached primes, Cd -filtration, Cohomological dimension, Local cohomology, System of ideals

In this thesis, we introduce the concept of the cohomological dimension filtration with respect to a system of ideals. In particular, a characterization of cohomological dimension filtration of a module ( with respect to a system of ideals) by the associated prime ideals of its factors is established. As a main result, we provide a necessary and sufficient condition for an ascending chain of submodules of an R-module M to be the cd-filtration of M, with respect to a system of ideals. We Also determine the annihilators of top local cohomology module with respect to a system of ideals in terms of its cd-filtration

1403/07/02

ابراهيمي

76007