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	1. Spherical objects of the multiplicity free Brauer tree algebra with two edges
	LIU Qunhua
	Mathematics 01 July 2018
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	Abstract:Spherical objects and tilting objects are important concepts in derived categories. They induce derived equivalences by taking derived tensor and mapping cone respectively. In this paper we explicitly describe, using the socalled n-complex, all spherical objects and tilting objects of the multiplicity free Brauer tree algebra with two edges. This algebra is Morita equivalent to the path algebra of a 2-cycle modulo the admissible ideal generated by the paths of length 3. We find the spherical objects are precisely the indecomposable direct summands of the tilting objects.
	TO cite this article:LIU Qunhua. Spherical objects of the multiplicity free Brauer tree algebra with two edges[OL].[ 1 July 2018] http://en.paper.edu.cn/en_releasepaper/content/4745481


	2. A unify approach for the derived equivalence ofself-injective algebras and self-injective orders
	CHEN Yiping
	Mathematics 13 June 2017
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	Abstract:Let $A$ and $B$ be derived equivalent artinalgebras (or orders). We give a unify approach to prove that if oneof them is self-injective, then the others is self-injective.
	TO cite this article:CHEN Yiping. A unify approach for the derived equivalence ofself-injective algebras and self-injective orders[OL].[13 June 2017] http://en.paper.edu.cn/en_releasepaper/content/4737555

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	3. Auslander-Reiten sequences in subcategories of lattices
	CHEN Yiping
	Mathematics 12 June 2017
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	Abstract:Let $R$ be a complete discrete rank one valuation ringwith quotient field $K$, and let $Lambda$ be an order over $R$satisfying that $Kotimes_R Lambda$ is semisimple. In this paper,we give sufficient and necessary conditions for the existence ofAuslander-Reiten sequences in subcategories of lattices.
	TO cite this article:CHEN Yiping. Auslander-Reiten sequences in subcategories of lattices[OL].[12 June 2017] http://en.paper.edu.cn/en_releasepaper/content/4737488


	4. LIE ALGEBRAS IN SYMMETRIC LINEAR GR-CATEGORIES
	Hua-Lin Huang,Yuping Yang
	Mathematics 10 May 2017
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	Abstract:In this paper, we study Lie algebras in symmetric linear Gr-categories with focus on those with nontrivial associativity constraints. Such Lie algebras are natural counterparts of the well known Lie coloralgebras which live in linear Gr-categories with associativity isomorphisms being identity. We give the reduced form of the Lie algebras in symmetric linear GR-category and prove the PBW theorem which is a unified form of that for ordinary Lie algebras, Lie superalgebras and Lie coloralgebras.
	TO cite this article:Hua-Lin Huang,Yuping Yang. LIE ALGEBRAS IN SYMMETRIC LINEAR GR-CATEGORIES[OL].[10 May 2017] http://en.paper.edu.cn/en_releasepaper/content/4732999


	5. A generalization of the doubling construction for sums of squares identities
	Chi Zhang, Hua-Lin Huang
	Mathematics 10 May 2017
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	Abstract:The doubling construction is a fast and important way to fill in the blanks of the solution table to the Hurwitz problem on sums of squares identities. By taking advantage of twisted group algebras over $Z_2^n$ and intercalate matrices, we generalize the doubling construction and obtain from any known admissible triple $[r,s,n]$ a series of new ones $[r+ ho(2^{m-1}),2^ms,2^mn]$ for all positive integer $m,$ where $ ho$ is the Hurwitz-Radon function.
	TO cite this article:Chi Zhang, Hua-Lin Huang. A generalization of the doubling construction for sums of squares identities[OL].[10 May 2017] http://en.paper.edu.cn/en_releasepaper/content/4733002


	6. Regular Semigroups with Perfect Orthodox Transversals
	KONG Xiang-Jun,WANG Pei
	Mathematics 15 April 2017
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	Abstract: {largef } Suppose that $S$ is a regular semigroup havingan orthodox transversal $S^o$. If both $I$ and $Lambda$ aresubbands of $S$, then $S^o$ is said to be a perfect orthodoxtransversal of $S$. Some equivalent conditions are obtained for an orthodox transversal to be perfect and an example is given to demonstrate thatperfect orthodox transversals are proper generalizations of leftsimplistic orthodox transversals. In this paper, we describe thestructure of regular semigroups with perfect orthodox transversals. As anapplication, we give the structures of regular semigroups withquasi-ideal orthodox transversals.
	TO cite this article:KONG Xiang-Jun,WANG Pei. Regular Semigroups with Perfect Orthodox Transversals[OL].[15 April 2017] http://en.paper.edu.cn/en_releasepaper/content/4725717


	7. A remark on positivity for regular cluster variables of type $widetilde{D}_4$
	DING Ming
	Mathematics 15 February 2017
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	Abstract:Inspired by Dupont's work, we show that the positivity for regular clustervariables of affine types can bededuced from the positivity for the interior of the regular cluster variablesassociated to quasi-simple modules in homogeneous tubes. Using this, we obtain an alternative proof of the positivity for regular clustervariables of type $widetilde{D}_{4}$.
	TO cite this article:DING Ming. A remark on positivity for regular cluster variables of type $widetilde{D}_4$[OL].[15 February 2017] http://en.paper.edu.cn/en_releasepaper/content/4719151


	8. The structure and good congruences associated with multiplicative quasi-adequate transversals
	KONG Xiang-Jun,WANGPei,FAN Xing-Kui
	Mathematics 17 January 2017
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	Abstract:In this paper, we first give some properties andcharacterizations concerned with quasi-adequate transversals. Wethen construct an abundant semigroup with a multiplicativequasi-adequate transversal by means of a quasi-adequate semigroup$R$ and a band $Lambda$. Finally, we characterize the goodcongruences by using of the good congruence couple on this class ofabundant semigroups.
	TO cite this article:KONG Xiang-Jun,WANGPei,FAN Xing-Kui. The structure and good congruences associated with multiplicative quasi-adequate transversals[OL].[17 January 2017] http://en.paper.edu.cn/en_releasepaper/content/4717031


	9. A quantum analogue of generalized cluster algebras
	BAI Li-Qian,CHEN Xue-Qing,DING Ming,XU Fan
	Mathematics 26 December 2016
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	Abstract:We define a quantum analogue of a class of generalized cluster algebras which can be viewed as a generalization of quantum cluster algebras. In the case of rank two, we extend some structural results from the classical theory of generalized cluster algebras to the quantum case.
	TO cite this article:BAI Li-Qian,CHEN Xue-Qing,DING Ming, et al. A quantum analogue of generalized cluster algebras[OL].[26 December 2016] http://en.paper.edu.cn/en_releasepaper/content/4715701


	10. 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

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