M. Jahangiri

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math.AC2011

Tame Loci of Certain Local Cohomology Modules

Markus Brodmann, Maryam Jahangiri

Let $M$ be a finitely generated graded module over a Noetherian homogeneous ring $R = ⨁_{n \in N_{0}} R_{n}$ . For each $i \in N_{0}$ let $H_{R_{+}}^{i} (M)$ denote…

math.AC2011

Relative Cohen-Macaulayness and relative unmixedness of bigraded modules

Maryam Jahangiri, Ahad Rahimi

In this paper we study the finitely generated bigraded modules over a standard bigraded polynomial ring which are relative Cohen-Macaulay or relative unmixed with respect to one of…

math.AC2011

Tameness and Artinianness of Graded Generalized Local Cohomology Modules

M. Jahangiri, N. Shirmohammadi, Sh. Tahamtan

Let $R = ⨁_{n \geq 0} R_{n}$ , $\fa\supseteq \bigoplus_{n> 0}R_n$ and $M$ and $N$ be a standard graded ring, an ideal of $R$ and two finitely generated graded $R$ -modules, respect…

math.AC2009

Boundedness of Cohomology

Markus Brodmann, Maryam Jahangiri, Cao Huy Linh

Let $d \in N$ and let $\D^d$ denote the class of all pairs $(R, M)$ in which $R = ⨁_{n \in N_{0}} R_{n}$ is a Noetherian homogeneous ring with Artinian base ring $R_{0}$ and suc…

math.AC2009

Castelnuovo-Mumford regularity of deficiency modules

Markus Brodmann, Maryam Jahangiri, Cao Huy Linh

Let $d \in N$ and let $M$ be a finitely generated graded module of dimension $\leq d$ over a Noetherian homogeneous ring $R$ with local Artinian base ring $R_{0}$ . Let $\beg(M)$, $\…