Algèbre homologique dans la catégorie Mod(R#U(g))

AbstractLetkbe an algebraically closed field of characteristic zero,ga finite-dimensional Lie algebra overk,U(g) the enveloping algebra ofg,Ra Noetheriank-algebra on whichgacts by derivations via a Lie algebra morphism, andR#U(g) the differential operator rings generated byRandU(g). This paper is concerned with the homological algebra forR#U(g)-modules which areg-locally finite, especially with injective and projective modules, minimal injective resolutions, and cohomology.Soientkun corps algébriquement clos de caractéristique nulle,gunek-algèbre de Lie de dimension finie,U(g) l'algèbre enveloppante deg,Runek-algèbre noethérienne sur laquellegopère par dérivations via un morphisme d'algèbres de Lie etR#U(g) le produit croisé deRparU(g). Ce papier traite de l'algèbre homologique dans la catégorie desR#U(g)-modulesg-localement finis, plus particulièrement des modules injectifs et projectifs, des résolutions injectives minimales et de la cohomologie

Projectivity and flatness over the graded ring of normalizing elements

Let k be a field, H a cocommutative bialgebra, A a commutative left H-module algebra, Hom(H,A) the $k$-algebra of the k-linear maps from H to A under the convolution product, Z(H,A) the submonoid of Hom(H,A) whose elements satisfy the cocycle condition and G any subgroup of the monoid Z(H,A). We give necessary and sufficient conditions for the projectivity and flatness over the graded ring of normalizing elements of A. When A is not necessarily commutative we obtain similar results over the graded ring of weakly semi-invariants of A replacing Z(H,A) by the set χ(H,Z(A)H) of all algebra maps from H to Z(A)H, where Z(A) is the center of A

Haematological evaluation of Wistar rats exposed to chronic doses of cadmium, mercury and combined cadmium and mercury

Cadmium and mercury present in the environment, cause blood disorders. This study was conducted to evaluate the influence of cadmium, mercury and their combination on hematological parameters of Wistar rats. For this purpose, two different doses of each metal and their combination were administered orally for 28 days to six groups of five rats each. Two groups (A and B) were respectively exposed to CdCl2 (0.25 and 2.5 mg/kg), two other groups (C and D) respectively received HgCl2 (0.12 and 1.2 mg/kg) and the last two groups (E and F) were respectively treated with the combination of these two metals: (0.25 mg/kg Cd + 0.12 mg/kg Hg) and (2.5 mg/kg Cd + 1.2 mg/kg Hg). The control group (G) received the same volume of distilled water. At the end of exposure, bodies of rats were weighed and the whole blood was collected by retro-orbital sinus method for analysis of hematological parameters. The results of this study show a significant decrease (p<0.05) in white blood cells (WBC) in the lot treated with the combination (0.25 mg/kg Cd + 012 mg/kg Hg) and also indicate a significant decrease (p<0.05) in WBC, red blood cells (RBC), hemoglobin concentration (HGB) and the mean corpuscular hemoglobin concentration (MCHC) with high levels of mercury (2.5 mg/kg) and the combination (2.5 mg/kg Cd + 1.2 mg/kg Hg). An increase in the number of platelet count (PLT) in all intoxicated lots was observed.Keywords: Cadmium, mercury, hematology, blood parameters, ratsAfrican Journal of BiotechnologyVol. 12(23), pp. 3731-373

Mycobacterium ulcerans infection: control, diagnosis, and treatment.

The skin disease Buruli ulcer, caused by Mycobacterium ulcerans, is the third most common mycobacterial disease after tuberculosis and leprosy and mainly affects remote rural African communities. Although the disease is known to be linked to contaminated water, the mode of transmission is not yet understood, which makes it difficult to propose control interventions. The disease is usually detected in its later stages, when it has caused substantial damage and disability. Surgery remains the treatment of choice. Although easy and effective in the early stages of the disease, treatment requires extended excisions and long hospitalisation for the advanced forms of the disease. Currently, no antibiotic treatment has proven effective for all forms of M ulcerans infection and research into a new vaccine is urgently needed. While the scientific community works on developing non-invasive and rapid diagnostic tools, the governments of endemic countries should implement active case finding and health education strategies in their affected communities to detect the disease in its early stages. We review the diagnosis, treatment, and control of Buruli ulcer and list priorities for research and development

Mycobacterium ulcerans Disease (Buruli Ulcer) in Rural Hospital, Southern Benin, 1997–2001

Hospital data show that Buruli ulcer is highly endemic in southern Benin

Projectivity and flatness over the endomorphism ring of a finitely generated module

Let A be a ring and Λ a finitely generated A-module. We give necessary and sufficient conditions for projectivity and flatness of a module over the endomorphism ring of Λ