On the cofiniteness of generalized local cohomology modules

Let $R$ be a commutative Noetherian ring, $I$ an ideal of $R$ and $M$, $N$ two finitely generated $R$-modules. The aim of this paper is to investigate the $I$-cofiniteness of generalized local cohomology modules \displaystyle H^j_I(M,N)=\dlim\Ext^j_R(M/I^nM,N) of $M$ and $N$ with respect to $I$. We first prove that if $I$ is a principal ideal then $H^j_I(M,N)$ is $I$-cofinite for all $M, N$ and all $j$. Secondly, let $t$ be a non-negative integer such that \dim\Supp(H^j_I(M,N))\le 1 \text{for all} j Then $H^j_I(M,N)$ is $I$-cofinite for all $j<t$ and \Hom(R/I,H^t_I(M,N)) is finitely generated. Finally, we show that if $\dim(M)\le 2$ or $\dim(N)\le 2$ then $H^j_I(M,N)$ is $I$-cofinite for all $j$.Comment: 16 page

Optimisation Of Processing Parameters Of Resin System In Development Of Adf Radome Fairings For Tu-142m Aircraft

This report highlights the optimization processing parameters for the resin system used in the fabrication of radomes for the TU-142 M aircraft . The radomes were fabricated using the standardised RIT process developed in-house with optimized parameters

STREAM Journal, Vol. 2, No. 1, pp 1-18. January-March 2003

CONTENTS: Learning insights from the Fisheries Resource Management Project, by Tee-Jay A San Diego. An orientation on the SIAD approach and participatory local development planning, by Elizabeth M. Gonzales. Group-building, production success and the struggle to prevent capture of the resource, by B.K. Sahay, K.P. Singh and S.N. Pandeya. Urban agriculture, water reuse and local economies: case study of coastal riverine Settlements of Ondo State, Nigeria, by Yemi Akegbejo-Samsons. Livelihoods analysis: actual experience from using PRA, by Pham Minh Tam and Trinh Quang Tu. A sustainable livelihoods approach to fisheries development for poverty alleviation in southeastern Vietnam, by Nguyen Van Tu and Nguyen Minh Du