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RESULTS OF CERTAIN LOCAL COHOMOLOGY MODULES
Mafi, Amir,Talemi, Atiyeh Pour Eshmanan Korean Mathematical Society 2014 대한수학회보 Vol.51 No.3
Let R be a commutative Noetherian ring, I and J two ideals of R, and M a finitely generated R-module. We prove that $$Ext^i{_R}(R/I,H^t{_{I,J}}(M))$$ is finitely generated for i = 0, 1 where t=inf{$i{\in}\mathbb{N}_0:H^2{_{I,J}}(M)$ is not finitely generated}. Also, we prove that $H^i{_{I+J}}(H^t{_{I,J}}(M))$ is Artinian when dim(R/I + J) = 0 and i = 0, 1.
Mirtamizdoust, B.,Travnicek, Z.,Hanifehpour, Y.,Talemi, P.,Hammud, H.,Joo, S.W. Elsevier Science 2017 Ultrasonics sonochemistry Vol.34 No.-
A sonochemical method was used to synthesize nano-peanuts of a new lead(II) coordination 1D polymer, [Pb(qcnh)(NO<SUB>3</SUB>)<SUB>2</SUB>]<SUB>n</SUB> (1), where qcnh=2-quinolincarbaldehyde nicotinohydrazide. The compound was characterized by scanning electron microscopy (SEM), elemental analysis, IR spectroscopy, thermogravimetric analysis (TGA), differential scanning calorimetry (DSC), X-ray powder diffraction (XRD), and single crystal X-ray analysis. The X-ray structure revealed that the Pb(II) atom is coordinated by one oxygen and three nitrogen atoms from two qcnh ligands and five oxygen atoms from three nitrate ligands in an 8+1 fashion with a PbN<SUB>3</SUB>O<SUB>6</SUB> donor set. One of the Pd?N distances in the vicinity of the central atom is a bit longer (Pb1?N1=2.939(4) A), which shows the effect of the 6s<SUP>2</SUP> lone electron pair localized within the valence shell of the lead(II) atom. PbO nanoparticles were obtained by thermolysis of 1 at 180<SUP>o</SUP>C with oleic acid as a surfactant. The average diameter of the nanoparticles was estimated by XRD to be 28nm. The morphology and size of the prepared PbO nanoparticles were further studied using SEM.
Results of certain local cohomology modules
Amir Mafi,Atiyeh Pour Eshmanan Talemi 대한수학회 2014 대한수학회보 Vol.51 No.3
Let R be a commutative Noetherian ring, I and J two ideals of R, and M a finitely generated R-module. We prove that Exti R(R/I,Ht I,J (M)) is finitely generated for i = 0, 1 where t = inf{i ∈ N0 : Hi I,J (M) is not finitely generated}. Also, we prove that Hi I+J(Ht I,J (M)) is Artinian when dim(R/I + J) = 0 and i = 0, 1.
Mirtamizdoust, B.,Bień,ko, D. C.,Hanifehpour, Y.,Tiekink, E. R.,Yilmaz, V. T.,Talemi, P.,Joo, S. W. Springer Science + Business Media 2016 Journal of inorganic and organometallic polymers a Vol.26 No.4
<P>A novel nano-cauliflower-shaped lead(II) metal-organic coordination polymer, [Pb(mu-2-pinh)N-3 H2O](n) (1), was synthesized using an ultrasonic method. The nanostructure was characterized by scanning electron microscopy (SEM), X-ray powder diffraction, IR spectroscopy, elemental analysis, and thermal analysis. The compound was structurally characterized by single-crystal X-ray diffraction. The coordination compound takes the form of a zig-zag one-dimensional polymer in solid state. The coordination number of the lead(II) ions is six (PbN4O2) with three nitrogen atoms and one oxygen atom from two linker organic ligands, as well as one oxygen from coordinated water and one nitrogen atom from terminal coordinated azide anion. It has a stereo-chemically active lone electron pair, and the coordination sphere is hemidirected. The zig-zag 1D chains interact with neighbouring chains through weak interactions, creating a 3D supramolecular metal-organic framework. Lead oxide nanoparticles were obtained by thermolysis of the new nano coordination compound at 180 A degrees C with oleic acid as a surfactant. The morphology and size were further studied using SEM. Natural bond orbital analyses demonstrate the electronic properties of the lead centre and other atoms.</P>