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	1. eu_2-Lie admissible algebras and Steinberg unitary Lie Algebra
	Shang Shikui ,Gao Yun
	Mathematics 12 January 2010
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	Abstract:In this paper, we study the algebra eu_2(R,-,r) and give a necessary and sufficient condition for (R,-) such that eu_2(R,-,r) becomes a Lie algebra. Moreover, we define the Steinberg unitary Lie algebra stu_2(R,-,r), which is the universal covering of eu_2(R,-,r) when R is an eu_2-Lie admissible algebra satisfying some assumptions.Finally,we compute the second homology group of the Lie algebra eu_2(R,-,r).
	TO cite this article:Shang Shikui ,Gao Yun . eu_2-Lie admissible algebras and Steinberg unitary Lie Algebra[OL].[12 January 2010] http://en.paper.edu.cn/en_releasepaper/content/38829


	2. A class of algebraic quantum hypergroups
	Wang Shuanhong
	Mathematics 04 September 2009
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	Abstract:In 1994, Alfons Van Daele introduced and studied the notion of an algebraic quantun group. After words, he established the duality theory of algebraic quantum groups. Recently he and Delvaux developed the theory of algebraic quntum hypergroups as a generalization of an algebraic quantum group. However, few examples are known. We present in this paper a family of examples of algebraic quantum hypergroups by considering the group-like elements. These examples are very interesting.
	TO cite this article:Wang Shuanhong. A class of algebraic quantum hypergroups[OL].[ 4 September 2009] http://en.paper.edu.cn/en_releasepaper/content/34930

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	3. NAKAYAMA AUTOMORPHISMS OF GENERALIZED CO-FROBENIUS ALGEBRAS
	Wang Shuanhong
	Mathematics 25 August 2009
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	Abstract:Generalized co-Frobenius algebras (or briefly gcF-algebras) are introduced. The concept generalizes co-Frobeius Hopf algebras and bi-Frobenius algebras. This paper studies basic properties of various Nakayama automorphisms in a gcF-algebra. As an application Radford\\\\\\\
	TO cite this article:Wang Shuanhong. NAKAYAMA AUTOMORPHISMS OF GENERALIZED CO-FROBENIUS ALGEBRAS[OL].[25 August 2009] http://en.paper.edu.cn/en_releasepaper/content/34616


	4. An extension of the Sherman-Morrison-Woodbury formula
	Yan Zizong
	Mathematics 11 August 2009
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	Abstract:This paper is focused on the applications of Schur complements to matrix identities and presents an extension of the Sherman-Morrison-Woodbury formula, which includes in a lot of matrix identities, such as Hua\
	TO cite this article:Yan Zizong. An extension of the Sherman-Morrison-Woodbury formula[OL].[11 August 2009] http://en.paper.edu.cn/en_releasepaper/content/34396


	5. 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


	6. On the McKay Quivers and $m$-Cartan Matrices
	Guo Jinyun
	Mathematics 27 November 2008
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	Abstract:In this paper, we introduce $m$-Cartan matrix and observe that some properties of the quadratic form associated to the Cartan matrix of an Euclidean, such as it is positive semi-definite, can be generalized to $m$-Cartan matrix of a McKay quiver. We also describe the McKay quiver for a finite abelian subgroup of a special linear group.
	TO cite this article:Guo Jinyun. On the McKay Quivers and $m$-Cartan Matrices[OL].[27 November 2008] http://en.paper.edu.cn/en_releasepaper/content/26134


	7. 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


	8. Properties on formal triangular matrix rings and modules
	Du Xianneng
	Mathematics 15 April 2008
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	Abstract:In this paper, we investigate some new properties of modules over a formal triangular matrix ring $R$, we study the quasi-injectivity and the projective dimension of modules; A condition is found for a $R$-module to be a p.p. module; We determine necessary and sufficient conditions for $R$ to be regular or Dedekind-finite.
	TO cite this article:Du Xianneng. Properties on formal triangular matrix rings and modules[OL].[15 April 2008] http://en.paper.edu.cn/en_releasepaper/content/20473


	9. Stable equivalences of adjoint tpye
	Changchang Xi
	Mathematics 06 March 2008
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	Abstract:We show that, for n greater than zero, the Hochschild cohomology group H^n is invariant under stable equivalences of adjoint type.
	TO cite this article:Changchang Xi. Stable equivalences of adjoint tpye[OL].[ 6 March 2008] http://en.paper.edu.cn/en_releasepaper/content/19081


	10. On the finitistic dimension conjecture
	Changchang Xi
	Mathematics 28 February 2008
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	Abstract:We discuss the relationship of finitistic dimensions of A and eAe. Main concern of the paper is how to bound the finitistic dimension of eAe by the homological dimensions of A and related information around A.
	TO cite this article:Changchang Xi. On the finitistic dimension conjecture[OL].[28 February 2008] http://en.paper.edu.cn/en_releasepaper/content/18908

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