Ali Atazadeh, Monireh Sedghi, Reza Naghipour
Abstract
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Let $\mathfrak a$ denote an ideal in a Noetherian ring $R$, and $M$ a finitely generated $R$-module. We introduce the concept of the cohomological dimension filtration $\mathscr {M} =\{M_i\}_{i=0}^c$, where $ c=\mathop {\rm cd}\nolimits (\mathfrak a,M)$ a
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Let $\mathfrak a$ denote an ideal in a Noetherian ring $R$, and $M$ a finitely generated $R$-module. We introduce the concept of the cohomological dimension filtration $\mathscr {M} =\{M_i\}_{i=0}^c$, where $ c=\mathop {\rm cd}\nolimits (\mathfrak a,M)$ a
Key concepts: Local cohomology, Annihilator, Filtration (mathematics), Dimension (graph theory), Noetherian ring, Ideal (ethics), Mathematics, Commutative property