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Λ-稳定秩下的酉K_1-群 被引量:11
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作者 唐国平 《数学年刊(A辑)》 CSCD 北大核心 2004年第2期171-178,共8页
A.Bak和唐国平在[1]中引入了Λ-稳定秩条件,这是比过去常用的酉稳定秩条件与绝对稳定秩条件都要弱的新的稳定秩条件.利用这一稳定秩条件证明了酉群(有限生成投射模上二次型的自同构群)的基本子群的正规性、二次型空间的消去性.以及酉K1... A.Bak和唐国平在[1]中引入了Λ-稳定秩条件,这是比过去常用的酉稳定秩条件与绝对稳定秩条件都要弱的新的稳定秩条件.利用这一稳定秩条件证明了酉群(有限生成投射模上二次型的自同构群)的基本子群的正规性、二次型空间的消去性.以及酉K1-群的稳定性.这些结果不仅推广了已有的类似结果、极大地简化了证明过程,而更重要的是降低了稳定秩的下界. 展开更多
关键词 酉群 ∧-稳定秩条件 正规性 酉K1-群的稳定
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Λ-稳定秩下酉K_1-群的满性 被引量:1
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作者 王利敏 于伟波 《洛阳师范学院学报》 2008年第2期25-26,34,共3页
利用Λ-稳定秩条件,证明了当模M的Witt指数n大于等于ΛS(R)+1时,映射U2n(R,Λ)/EU2n(R,Λ)→U(M,q)/EU(M,q)是满射。
关键词 酉群 ∧-稳定秩 Eichler变换
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∧-稳1定秩条件下EU(M,I,Γ)的正规性 被引量:1
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作者 吴校良 于伟波 《西南民族大学学报(自然科学版)》 CAS 2007年第6期1220-1223,共4页
本文在A.bak和唐国平在[1]中引入的∧-稳定秩条件下证明了子群EU(M,I,Γ)在酉群U(M)中的正规性.
关键词 酉群 Eichler变换 ∧-稳定秩条件 正规子群
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Stable Rank One and Real Rank Zero for Crossed Products by Finite Group Actions with the Tracial Rokhlin Property 被引量:2
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作者 Qingzhai FAN Xiaochun FANG 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2009年第2期179-186,共8页
The authors prove that the crossed product of an infinite dimensional simple separable unital C*-algebra with stable rank one by an action of a finite group with the tracial Rokhlin property has again stable rank one.... The authors prove that the crossed product of an infinite dimensional simple separable unital C*-algebra with stable rank one by an action of a finite group with the tracial Rokhlin property has again stable rank one. It is also proved that the crossed product of an infinite dimensional simple separable unital C*-algebra with real rank zero by an action of a finite group with the tracial Rokhlin property has again real rank zero. 展开更多
关键词 C*-algebra Stable rank one Real rank zero
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Order in Transitional China and Its Institutional Logic 被引量:1
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作者 He Yanling Wang Guanglong 《Social Sciences in China》 2017年第2期56-75,共20页
The development of order in transitional China is not merely a matter of institutional supply, hut also a matter of defining the state's special roles and functions in the transition period. Since reform and opening ... The development of order in transitional China is not merely a matter of institutional supply, hut also a matter of defining the state's special roles and functions in the transition period. Since reform and opening up, China has sought to realize the twin governance aims of high speed development of the socialist economy and maintenance of stability, which require that the state simultaneously undertake the dual roles of modern government and national capital. The consequent adjustments to the governance structure are expressed in the state's devolution of power to the market while reserving government pricing power; devolution of power to local governments while reserving power over central tasks; and affirming social rights while reserving the power to approve social organizations. At the institutional level, the externalities produced by this "quasi-decentralized governance structure" are marked by the shrinkage of arrangements for collective welfare, the absence of mechanisms for routine security in ordinary life, and the development of mechanisms that allow the government to profit from the market. This may result in the instrumentalization of government functions and the capitalization of public power, producing imbalances in the distribution of social rights, wealth and risk, or in other words, social instability. 展开更多
关键词 order in transitional China incidents of unrest governance structure
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