Given an exterior algebra  over a finite dimension vector space v, and let   , where  is a graded ideal in . The relation between the algebra  and    regarding to -quadratic and - quadratic will be investigated. We show that the algebra   is - quadratic if and only if   is - quadratic. Furthermore, it has been shown that the algebra  is - quadratic if and only if  is - quadratic.

Iraq has suffered since 1991 from international sanctions imposed on it by the dictatorial regime that existed at the time, invading Kuwait, which led to the decline of the status of Iraq and the isolation of international and regional (Arab) and clear Iraq as a strange entity living within its regional environment, after April 2003 did not change much In fact, there were no signs of détente before the Arab League summit in Baghdad in 2011, and the signs of a break in the stalemate in inter-relations over the past years have become evident. Disruption and refraction was not high (Islamic Republic of Iran, Turkey, Syrian Arab Republic, Hashemite Kingdom of Jordan, Saudi Arabia, Kuwait). Each side is governed by perceptions about Iraq, es

Nimodipine (NMD) is a dihydropyridine calcium channel blocker useful for the prevention and treatment of delayed ischemic effects. It belongs to class ? drugs, which is characterized by low solubility and high permeability. This research aimed to prepare Nimodipine nanoparticles (NMD NPs) for the enhancement of solubility and dissolution rate. The formulation of nanoparticles was done by the solvent anti-solvent technique using either magnetic stirrer or bath sonicator for maintaining the motion of the antisolvent phase. Five different stabilizers were used to prepare NMD NPs( TPGS, Soluplus®, HPMC E5, PVP K90, and poloxamer 407). The selected formula F2, in which  Soluplus 

has been utilized as a stabilizer, has a par

This research deals with study of the Petrology and mineralogy of the Rus and Jil Formations at Najif and Al-Muthanna Governorates, Southern Iraq. The Rus Formation consists mainly of evaporites and subordinate carbonates. The evaporites are characterized by nodular structure (compound wispy, wispy, structureless and mosaic structures) with some laminated structure at the studied sections. Compound wispy to wispy structure are the dominant structures. The Jil Formation consists almost entirely of carbonate. The carbonate rocks are dolomitic limestone and dolomite beds, massive, fossiliferous, cavernous sometime friable and bioturbated in its lower part. The Jil Formation contains evaporites as thin beds, sometimes nodular and contains se

This research deals with study of the Petrology and mineralogy of the Rus and Jil Formations at Najif and Al-Muthanna Governorates, Southern Iraq. The Rus Formation consists mainly of evaporites and subordinate carbonates. The evaporites are characterized by nodular structure (compound wispy, wispy, structureless and mosaic structures) with some laminated structure at the studied sections. Compound wispy to wispy structure are the dominant structures. The Jil Formation consists almost entirely of carbonate. The carbonate rocks are dolomitic limestone and dolomite beds, massive, fossiliferous, cavernous sometime friable and bioturbated in its lower part. The Jil Formation contains evaporites as thin beds, sometimes nodular and contains se

     Obesity is a complex disease and a major worldwide health hazard with adult mortality. Obesity is defined by an increase in the body-mass index of 30 kg m⁻² or greater. It belongs to the genetic predisposition and more consumption of high-energy foods and decreased requirement for physical activity in modern society. This study was designed to evaluate leptin and ghrelin hormones levels and the gene expression of leptin and ghrelin receptors in obese individuals. Seventy-five obese (45 females and 30 males) and 25 (15 females and 10 male) normal individuals were admitted to the Obesity Research and Therapeutic Unit at Alkindy College of Medicine/ University of Baghdad. All blood samples were pulled from obese and n

In this paper a prey-predator-scavenger food web model is proposed and studied. It is assumed that the model considered the effect of harvesting and all the species are infected by some toxicants released by some other species. The stability analysis of all possible equilibrium points is discussed. The persistence conditions of the system are established. The occurrence of local bifurcation around the equilibrium points is investigated. Numerical simulation is used and the obtained solution curves are drawn to illustrate the results of the model. Finally, the nonexistence of periodic dynamics is discussed analytically as well as numerically.

     Inflammatory bowel disease (IBD) is a chronic inflammatory disorder,  the etiology and pathogenesis of which have been suggested to be influenced by cytokines. Two main clinical types of IBD are recognized, namely ulcerative colitis (UC) and Crohn's disease (CD). The present study examined serum levels of two cytokines (IL-17A and IL-23) in 60 IBD patients (30 UC and 30 CD) and 30 healthy controls. The levels were correlated with age, gender, cigarette-smoking status, disease duration, family history, disease extension, symptoms, extra-intestinal manifestations, and medication. The results depicted that IL-17A level was significantly higher in UC and CD patients compared to control (45.2 ± 23.3 and 47.5 ±

Haruki Murakami (1949-present) is a contemporary Japanese writer whose works have been translated into fifty languages and won him plenty of Japanese and international awards. His short stories are well constructed in a weird realistic manner and are mixed with elements of surrealism. His novels and short stories fall under the genre of magical realism. One of the major revolving themes that Murakami wrote about was the haunting feeling of emptiness and disconnectedness in a world which seems to care much for materialism and self-interests.

    The paper explores two of Murakami’s short stories in his book After the Quake (2000) and the relevance of their themes and characters to Iraq after the q