A new definition of restricted Lie superalgebras has been given; some important results on the representation theory of restricted Lie superalgebra have been obtained.
Hodge和Parshall在文[On the representation theory of Lie triple systems,Trans AmerMath Soc,2002,354(11):4359-4391]中指出,若(T,(-)^([p]))是有限维限制李三系且(-)^([p]):T→T是单射,则T是可交换的.但是,这个结论是不正确的.作...Hodge和Parshall在文[On the representation theory of Lie triple systems,Trans AmerMath Soc,2002,354(11):4359-4391]中指出,若(T,(-)^([p]))是有限维限制李三系且(-)^([p]):T→T是单射,则T是可交换的.但是,这个结论是不正确的.作者证明了它在代数闭域上是成立的,同时,给出了限制李三系可交换的一些条件,并刻画了限制李三系的p-映射和半单元的一些性质.展开更多
In this paper, we discuss the nonemptyness and boundedness of the solution set for P*-semidefinite complementarity problem by using the concept of exceptional family of elements for complementarity problems over the c...In this paper, we discuss the nonemptyness and boundedness of the solution set for P*-semidefinite complementarity problem by using the concept of exceptional family of elements for complementarity problems over the cone of semidefinite matrices, and obtain a main result that if the corresponding problem has a strict feasible point, then its solution set is nonemptyness and boundedness.展开更多
本文对互补问题提出一个新的广义例外族,它是例外族和d方向序列概念的推广;证明如果连续函数不存在广义例外族,那么该互补问题一定有解;也分别证明在Karamardian型条件,Isac and Gowda型条件或P-阶广义强制型条件下,连续函数不存在广义...本文对互补问题提出一个新的广义例外族,它是例外族和d方向序列概念的推广;证明如果连续函数不存在广义例外族,那么该互补问题一定有解;也分别证明在Karamardian型条件,Isac and Gowda型条件或P-阶广义强制型条件下,连续函数不存在广义例外族;应用该广义例外族概念到P*映射互补问题,得到了一个新的存在性定理.展开更多
The family members of the mitogen-activated protein (MAP) kinases mediate a wide variety of cellular behaviors in response to extracellular stimuli. One of the four main sub-groups, the p38 group of MAP kinases, serve...The family members of the mitogen-activated protein (MAP) kinases mediate a wide variety of cellular behaviors in response to extracellular stimuli. One of the four main sub-groups, the p38 group of MAP kinases, serve as a nexus for signal transduction and play a vital role in numerous biological processes. In this review, we highlight the known characteristics and components of the p38 pathway along with the mechanism and consequences of p38 activation. We focus on the role of p38 as a signal transduction mediator and examine the evidence linking p38 to inflammation, cell cycle, cell death, development, cell differentiation, senescence and tumorigenesis in specific cell types. Upstream and downstream components of p38 are described and questions remaining to be answered are posed. Finally, we propose several directions for future research on p38.展开更多
目的研究阿魏酸钠(sod ium feru late)对抗Aβ25-35致大鼠学习记忆障碍与白介素-1β(IL-1β)和丝裂原激活的蛋白激酶p38(M itogen-activated prote in k inase,p38MAPK)表达的相关性。方法大鼠脑室内一次性注射Aβ25-35制备AD动物模型,...目的研究阿魏酸钠(sod ium feru late)对抗Aβ25-35致大鼠学习记忆障碍与白介素-1β(IL-1β)和丝裂原激活的蛋白激酶p38(M itogen-activated prote in k inase,p38MAPK)表达的相关性。方法大鼠脑室内一次性注射Aβ25-35制备AD动物模型,通过大鼠行为学和海马CA1区的病理学改变观察阿魏酸钠的作用。W estern b lot和ELISA方法检测磷酸化p38MAPK和IL-1β蛋白表达量的变化。RT-PCR分析FasLmRNA表达水平。结果脑室内注射Aβ25-35可使大鼠出现明显的学习记忆障碍,即逃避潜伏期明显延长,原平台象限游泳时间占总游泳时间百分比明显降低。这些行为学的改变伴随有海马CA1区星形胶质细胞激活和浸润,IL-1β蛋白表达和FasL mRNA表达水平明显增加,海马CA1区锥体神经元损伤。另外,Aβ25-35也能引起磷酸化的p38MAPK蛋白表达明显增加。阿魏酸钠(50,100,250 mg.kg-1,连续应用4 wk)与阳性对照药布洛芬(15 mg.kg-1)均能明显对抗Aβ25-35所致大鼠学习记忆障碍,抑制Aβ25-35引起的IL-1β、磷酸化p38MAPK和FasL mRNA表达增加,海马CA1区锥体神经元的损伤和星形胶质细胞激活和浸润也被明显减轻。结论阿魏酸钠通过抑制Aβ25-35引起的海马炎症反应和p38MAPK活性,减轻大鼠海马锥体神经元的损伤,改善大鼠的学习记忆功能。展开更多
文摘A new definition of restricted Lie superalgebras has been given; some important results on the representation theory of restricted Lie superalgebra have been obtained.
文摘Hodge和Parshall在文[On the representation theory of Lie triple systems,Trans AmerMath Soc,2002,354(11):4359-4391]中指出,若(T,(-)^([p]))是有限维限制李三系且(-)^([p]):T→T是单射,则T是可交换的.但是,这个结论是不正确的.作者证明了它在代数闭域上是成立的,同时,给出了限制李三系可交换的一些条件,并刻画了限制李三系的p-映射和半单元的一些性质.
文摘In this paper, we discuss the nonemptyness and boundedness of the solution set for P*-semidefinite complementarity problem by using the concept of exceptional family of elements for complementarity problems over the cone of semidefinite matrices, and obtain a main result that if the corresponding problem has a strict feasible point, then its solution set is nonemptyness and boundedness.
基金Supported by the National Natural Science Foundation of China(11761014,11461015)the Guangxi Natural Science Foundation(2017GXNSFAA198243)the Innovation Project of Guangxi Graduate Education(JGY2017019,JGY2019029)
文摘本文对互补问题提出一个新的广义例外族,它是例外族和d方向序列概念的推广;证明如果连续函数不存在广义例外族,那么该互补问题一定有解;也分别证明在Karamardian型条件,Isac and Gowda型条件或P-阶广义强制型条件下,连续函数不存在广义例外族;应用该广义例外族概念到P*映射互补问题,得到了一个新的存在性定理.
文摘The family members of the mitogen-activated protein (MAP) kinases mediate a wide variety of cellular behaviors in response to extracellular stimuli. One of the four main sub-groups, the p38 group of MAP kinases, serve as a nexus for signal transduction and play a vital role in numerous biological processes. In this review, we highlight the known characteristics and components of the p38 pathway along with the mechanism and consequences of p38 activation. We focus on the role of p38 as a signal transduction mediator and examine the evidence linking p38 to inflammation, cell cycle, cell death, development, cell differentiation, senescence and tumorigenesis in specific cell types. Upstream and downstream components of p38 are described and questions remaining to be answered are posed. Finally, we propose several directions for future research on p38.
