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	1. Trivial Maximal 1-Orthogonal Subcategories For Auslander\
	Huang Zhaoyong ,Zhang Xiaojin
	Mathematics 05 June 2009
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	Abstract:Let Λ be an Auslander\
	TO cite this article:Huang Zhaoyong ,Zhang Xiaojin . Trivial Maximal 1-Orthogonal Subcategories For Auslander\[OL].[ 5 June 2009] http://en.paper.edu.cn/en_releasepaper/content/32883


	2. The lower dimensional cohomology of W(1,1) -module W(1,2,1)
	Kong Xiangqing,Yang Lina,Wu Na
	Mathematics 06 February 2009
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	Abstract:Let $K$ be an algebraically closed field with $charK=p geq 3$. Let $W(1, underline{1})$ be the restricted Witt algebra, $W(1,2, underline{1})$ be the restricted Witt-type Lie superalgebra. Then $W(1,2, underline{1})$ is a $W(1, underline{1})$-module. In this paper we compute the lower dimensional cohomology of W(1, underline{1})-module $W(1,2, underline{1})$.
	TO cite this article:Kong Xiangqing,Yang Lina,Wu Na. The lower dimensional cohomology of W(1,1) -module W(1,2,1)[OL].[ 6 February 2009] http://en.paper.edu.cn/en_releasepaper/content/28535

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	3. SELFINJECTIVE KOSZUL ALGEBRAS OF FINITE COMPLEXITY
	Guo Jinyun ,Li Aihua,Wu Qiuxian
	Mathematics 25 November 2008
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	Abstract:In this paper, we study selfinjective Koszul algebras of finite complexity. We prove that the complexity is a nonnegative integer when it is finite; and that the category $mathcal C_t$ of modules with complexity less or equal to $t$, is resolving and coresolving. We show that for each $0 le l le m$ there exist a family of modules of complexity $l$ parameterized by $G(l,m)$, the Grassmannian of $l$-dimensional subspaces of an $m$-dimensional vector space $V$, for the exterior algebra of $V$.
	TO cite this article:Guo Jinyun ,Li Aihua,Wu Qiuxian. SELFINJECTIVE KOSZUL ALGEBRAS OF FINITE COMPLEXITY[OL].[25 November 2008] http://en.paper.edu.cn/en_releasepaper/content/26057


	4. On generalized preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems
	Jing An,Ai-Li Yang
	Mathematics 09 April 2008
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	Abstract:For large sparse non-Hermitian positive definite system of linear equations, in this paper, we present a generalized preconditioned Hermitian and skew-Hermitian splitting methods (GPHSS) based on the Hermitian and skew-Hermitian splitting methods (HSS). Theoretical analysis shows that the GPHSS method converges to the unique solution of the system of linear equations with some conditions. Numerical examples show the effectiveness of the GPHSS method.
	TO cite this article:Jing An,Ai-Li Yang. On generalized preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems[OL].[ 9 April 2008] http://en.paper.edu.cn/en_releasepaper/content/20229


	5. Maps on upper triangular matrix algebra preserving k-potence
	Wang Zhongying,You Hong
	Mathematics 24 March 2008
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	Abstract:In this paper we describe the maps from upper triangular matrix algebra to matrix algebra which preserve k-potences
	TO cite this article:Wang Zhongying,You Hong. Maps on upper triangular matrix algebra preserving k-potence[OL].[24 March 2008] http://en.paper.edu.cn/en_releasepaper/content/19627


	6. Recognition by spectrum for finite simple groups of Lie type
	M.A. Grechkoseeva,Wujie Shi,Andrey V. Vasilev
	Mathematics 21 January 2008
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	Abstract:The goal of this paper is to survey new results on the recognition problem. We focus our attention on the methods recently developed in this area. In the last section we review arithmetical characterization of spectra of finite simple groups and conclude with a list of groups for which the recognition problem was solved within last three years. In each section we formulate related open problems.
	TO cite this article:M.A. Grechkoseeva,Wujie Shi,Andrey V. Vasilev. Recognition by spectrum for finite simple groups of Lie type[OL].[21 January 2008] http://en.paper.edu.cn/en_releasepaper/content/18241


	7. BC_N-graded Lie algebras arising from fermionic representations
	Hongjia Chen,Yun Gao
	Mathematics 23 January 2007
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	Abstract:We use fermionic representations to obtain a class of BCN-graded Lie algebras coordinatized by quantum tori with nontrivial central extensions.
	TO cite this article:Hongjia Chen,Yun Gao. BC_N-graded Lie algebras arising from fermionic representations[OL].[23 January 2007] http://en.paper.edu.cn/en_releasepaper/content/10856


	8. On Tor-tilting Modules
	Zhang Xiaoxiang ,Yao Lingling
	Mathematics 23 November 2006
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	Abstract:Let R be an associative ring with identity. A right R-module U is called Tor-tilting if Cogen($U^+$) = $U^{\top}$, where $U^+$ is the characterization module of U and $U^{\top}$ = KerTor$^R_1(U, -)$. Some characterizations of Tor-tilting modules are given. Among others, it is shown that U is Tor-tilting if and only if $U^+$ is cotitling. Moreover, both tilting modules and completely faithful flat modules are proved to be Tor-tilting. Some properties of torsion theories induced by a Tor-tilting module are also investigated.
	TO cite this article:Zhang Xiaoxiang ,Yao Lingling . On Tor-tilting Modules[OL].[23 November 2006] http://en.paper.edu.cn/en_releasepaper/content/9828


	9. Arithmetical Properties of Finite Groups
	Shi Wujie
	Mathematics 14 June 2006
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	Abstract:Let $G$ be a finite group and $Ch_i(G)$ some quantitative sets. In this paper we study the influence of $Ch_i(G)$ to the structure of $G$. We present a survey of author and his colleagues\
	TO cite this article:Shi Wujie . Arithmetical Properties of Finite Groups[OL].[14 June 2006] http://en.paper.edu.cn/en_releasepaper/content/7139


	10. Multipartite Entanglement of a Tetrahedron Lattice
	Zhang Rong ,Zhu Shiqun ,Hao Xiang
	Mathematics 14 March 2006
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	Abstract:Three dimensional Heisenberg model in the form of a tetrahedron lattice is investigated. The concurrence and multipartite entanglement are calculated through 2-concurrence $C$ and 4-concurrence $C_4$. The concurrence $C$ and multipartite entanglement $C_4$ depend on different coupling strengths $J_i$ and are decreased when the temperature $T$ is increased. For a symmetric tetrahedron lattice, the concurrence $C$ is symmetric about $J_1$ when $J_2$ is negative while the multipartite entanglement $C_4$ is symmetric about $J_1$ when $J_2<2$. For a regular tetrahedron lattice, the concurrence $C$ of ground state is $\frac{1}{3}$ for ferromagnetic case while $C=0$ for antiferromagnetic case. However, there is no multipartite entanglement since $C_4 =0$ in a regular tetrahedron lattice. The external magnetic field $B$ can increase the maximum value of the concurrence $C_B$ and induce two or three peaks in $C_B$. There is a peak in the multipartite entanglement $C_{4B}$ when $C_{4B}$ is varied as a function of the temperature $T$. This peak is mainly induced by the magnetic field $B$
	TO cite this article:Zhang Rong ,Zhu Shiqun ,Hao Xiang . Multipartite Entanglement of a Tetrahedron Lattice[OL].[14 March 2006] http://en.paper.edu.cn/en_releasepaper/content/5697

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