通过分析半单Hopf代数类群元所构成群的阶数,得到了特征为零代数闭域上pq3维半单Hopf代数的结构:它们或者是半可解的,或者同构于Radford双积R#A,其中:p,q是满足条件p>q2的素数;A是q3维半单Hopf代数;R是Yetter-Drinfeld模范畴A A Y D...通过分析半单Hopf代数类群元所构成群的阶数,得到了特征为零代数闭域上pq3维半单Hopf代数的结构:它们或者是半可解的,或者同构于Radford双积R#A,其中:p,q是满足条件p>q2的素数;A是q3维半单Hopf代数;R是Yetter-Drinfeld模范畴A A Y D中的p维半单Hopf代数.展开更多
For a maximal subgroup M of a group G, a g-completion for M is a subgroup C such that C is not contained in M while MG, the core of M in G, is contained in C and C/MG has no proper normal subgroup of G/MG. This concep...For a maximal subgroup M of a group G, a g-completion for M is a subgroup C such that C is not contained in M while MG, the core of M in G, is contained in C and C/MG has no proper normal subgroup of G/MG. This concept was introduced by ZHAO Yao-qing in 1998. In this paper we characterize the solvability of finite groups by means of g-completions and obtain some new results.展开更多
By means of the theory on the semi-global C^1 solution to the mixed initialboundary value problem （IBVP） for first order quasilinear hyperbolic systems, we establish the exact controllability for general nonautonomo...By means of the theory on the semi-global C^1 solution to the mixed initialboundary value problem （IBVP） for first order quasilinear hyperbolic systems, we establish the exact controllability for general nonautonomous first order quasilinear hyperbolic systems with general nonlinear boundary conditions.展开更多
The authors prove that an operator with the cellular indecomposable property has no singular points in the semi-Fredholm domain, by applying the 4 x 4 matrix model of semi-Fredholm operators due to Fang in 2004. This ...The authors prove that an operator with the cellular indecomposable property has no singular points in the semi-Fredholm domain, by applying the 4 x 4 matrix model of semi-Fredholm operators due to Fang in 2004. This result fills a gap in the result of Olin and Thomson in 1984.展开更多
文摘通过分析半单Hopf代数类群元所构成群的阶数,得到了特征为零代数闭域上pq3维半单Hopf代数的结构:它们或者是半可解的,或者同构于Radford双积R#A,其中:p,q是满足条件p>q2的素数;A是q3维半单Hopf代数;R是Yetter-Drinfeld模范畴A A Y D中的p维半单Hopf代数.
基金supported by the NSFC(11201231)the China Postdoctoral Science Foundation(2012M511643)+1 种基金the Jiangsu Planned Projects for Postdoctoral Research Funds(1102041C)Agricultural Machinery Bureau Foundation of Jiangsu Province(GXZ11003)
文摘For a maximal subgroup M of a group G, a g-completion for M is a subgroup C such that C is not contained in M while MG, the core of M in G, is contained in C and C/MG has no proper normal subgroup of G/MG. This concept was introduced by ZHAO Yao-qing in 1998. In this paper we characterize the solvability of finite groups by means of g-completions and obtain some new results.
基金Project supported by Specialized Research Fund for the Doctoral Program of Higher Education.
文摘By means of the theory on the semi-global C^1 solution to the mixed initialboundary value problem （IBVP） for first order quasilinear hyperbolic systems, we establish the exact controllability for general nonautonomous first order quasilinear hyperbolic systems with general nonlinear boundary conditions.
基金Project supported by the National Natural Science Foundation of China(No.11101312)the National Science Foundation(No.0801174)
文摘The authors prove that an operator with the cellular indecomposable property has no singular points in the semi-Fredholm domain, by applying the 4 x 4 matrix model of semi-Fredholm operators due to Fang in 2004. This result fills a gap in the result of Olin and Thomson in 1984.
