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	1. The separation of a binary relative constant-weight code
	LIU Yi-Wei,LIAO Da-Jian,GAO Ying,LIU Zi-Hui
	Mathematics 27 November 2016
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	Abstract:Certain formula for computing the minimumvalues of the cardinality of separating coordinate position of thecodeword sets are presented for any binary linear code. With theabove formula, this paper have determined the separation of any codewordsets of a binary relative constant-weight code in terms of codeparameters. A method of constructing binary $(2,1)$-separating and$(2,2)$-separating codes is presented.
	TO cite this article:LIU Yi-Wei,LIAO Da-Jian,GAO Ying, et al. The separation of a binary relative constant-weight code[OL].[27 November 2016] http://en.paper.edu.cn/en_releasepaper/content/4711868


	2. A construction of stable equivalences of Morita type
	Hu Wei
	Mathematics 27 December 2013
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	Abstract:Stable equivalences of Morita type is a basic equivalent relation between finite dimensional algebras, introduced by Brou'{e} in the study of modular representation theory of finite groups. It is closely related to the famous Abelian Defect Group Conjecture. Later, Liu and Xi give a series of methods to construct stable equivalences of Morita type between general finite dimensional algebras. In particular, they proved that: If a stable equivalence of Morita type between two basic self-injective algebras $A$ and $B$ takes the socle $soc(P)$ of an indecomposable projective-injective $A$-module $P$ to the socle $soc(P')$ of an indecomposable projective-injective $B$-module $P'$, then the quotient algebras $A/soc(A)$ and $B/soc(B)$ are stably equivalent of Morita type. In this note, generalize this result by given a more general construction of stable equivalences of Morita type. Particularly, we improve the above mentioned result by remove the condition that $A$ and $B$ are self-injective.
	TO cite this article:Hu Wei. A construction of stable equivalences of Morita type[OL].[27 December 2013] http://en.paper.edu.cn/en_releasepaper/content/4578909

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	3. Lie conformal algebra W(a,b)
	XU Ying,YUE Xiaoqing
	Mathematics 29 August 2013
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	Abstract:For any complex parameters a,b, let W(a,b) be the Lie algebra with basis {Li,Hi,\|,i∈Z} andrelations [Li,Lj]=(j-i)Li+j,[Li,Hj]=(a+j+bi)Hi+j, [Hi,Hj]=0. In this paper, we construct the W(a,b) conformal algebra for some a,b and its conformal module of rank one.
	TO cite this article:XU Ying,YUE Xiaoqing. Lie conformal algebra W(a,b)[OL].[29 August 2013] http://en.paper.edu.cn/en_releasepaper/content/4557113


	4. On n-principally weakly injective acts over monoids
	Qiao Husheng,Ma Xin
	Mathematics 07 December 2012
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	Abstract:Let n be a positive integer. In this article a new kind ofinjectivity, namely n-principally weakly injective act is defined, this property is a genaralization of principally weakly injectivity. A monoid S is called n-regular, if for every s∈S, s n is regular. Using this new property the characterizations of category of n-regular monoids are investigated and some known results are extended.
	TO cite this article:Qiao Husheng,Ma Xin. On n-principally weakly injective acts over monoids[OL].[ 7 December 2012] http://en.paper.edu.cn/en_releasepaper/content/4500634


	5. Symmetry Groups and Exact Solutions of a (3+1)-Dimensional Nonlinear Evolution Equation and Maccari‘s System
	Hu Xiao
	Mathematics 26 August 2010
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	Abstract:Based on the generalized symmetry group method and symbolic computation, firstly, both the Lie point groups and the non-Lie symmetry groups of a (3+1)-dimensional nonlinear evolution equation and Maccari’s system are obtained. Furthermore, some exact solutions of the two equations are derived from some simple solutions by the symmetry groups.
	TO cite this article:Hu Xiao. Symmetry Groups and Exact Solutions of a (3+1)-Dimensional Nonlinear Evolution Equation and Maccari‘s System[OL].[26 August 2010] http://en.paper.edu.cn/en_releasepaper/content/4383279


	6. Factorization of the Cyclotomic Polynomials Q2^(n+1)(x)
	Wu Genqiang,LI Yanchao,Qi Yu
	Mathematics 03 May 2010
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	Abstract:In this paper we study the factorization of the polynomials 1+x^(2^n)over a field K, which have the same form as the Fermat numbers . As we notice that 1+x^(2^n) is equal to the 2^(n+1)th cyclotomic polynomials Q2^(n+1)(x), this problem can be discussed by using the theorems of cyclotomic polynomial and the factorization theorem of Q2^(n+1)(x) over a finite field has been illustrated. Moreover we find that Q2^(n+1)(x) can be factored into at least two irreducible polynomials over a finite field except some special cases.
	TO cite this article:Wu Genqiang,LI Yanchao,Qi Yu. Factorization of the Cyclotomic Polynomials Q2^(n+1)(x)[OL].[ 3 May 2010] http://en.paper.edu.cn/en_releasepaper/content/358200


	7. Quasirecognition by prime graph of the simple group $ E_7(q)$
	Zhang Qingliang ,Shi Wujie,Shen Rulin
	Mathematics 28 October 2009
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	Abstract:Let $G$ be a finite group. We know that E7(q)with connected prime graph is not recognizable by prime graph. Thus in this paper we consider E7(q)with disconnected prime graph. The main result is as follows: the simple group E7(q)with disconnected prime graph is quasirecognizable by prime graph, and furthermore we show that if \|G\|=\|E7(q)\| and Γ(G) =Γ(E7(q)), where E7(q)has a disconnected prime graph, then G = E7(q). In fact we give a generalization of some known results of W. Shi for E7(q).
	TO cite this article:Zhang Qingliang ,Shi Wujie,Shen Rulin. Quasirecognition by prime graph of the simple group $ E_7(q)$[OL].[28 October 2009] http://en.paper.edu.cn/en_releasepaper/content/36185


	8. Quasirecognition by prime graph of the simple groups $G_2(q)$ and $^2B_2(q)$
	Zhang Qingliang ,Shi Wujie,Shen Rulin
	Mathematics 27 October 2009
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	Abstract:Let G be a finite group. The main result is as follows: if G is a finite group such that Γ(G) = Γ(M), where M is G2(q) (q = 32n+1) or 2B2(q) (q = 22n+1 > 2), then G is quasirecognizable by prime graph. And furthermore we generalize some known results of W. Shi for G2(q) and 2B2(q).
	TO cite this article:Zhang Qingliang ,Shi Wujie,Shen Rulin. Quasirecognition by prime graph of the simple groups $G_2(q)$ and $^2B_2(q)$[OL].[27 October 2009] http://en.paper.edu.cn/en_releasepaper/content/36172


	9. 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


	10. Additive maps seemingly preserving group inverses
	Rong Jianying,Liu Xuqing
	Mathematics 19 September 2008
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	Abstract:Additive preserver problems on algebra structures over square matrices spaces are of considerable interest to many authors in the past decade, in which the notion additive map preserving group inverses is mentioned. In the present note, we first propose a suitably acceptable notion additive map seemingly preserving group inverses of matrices over fields with characteristic not 2 or 3 and then investigate the general characterization of this notion as a beneficial attempt.
	TO cite this article:Rong Jianying,Liu Xuqing. Additive maps seemingly preserving group inverses[OL].[19 September 2008] http://en.paper.edu.cn/en_releasepaper/content/24186

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