衍生多孔碳材料在固相微萃取中的应用研究进展

固相微萃取是一种集采样、萃取、富集和进样于一体的样品前处理技术,其萃取效果与涂层材料密切相关。多孔碳材料具有比表面积大、多孔结构可控、活性位点多和化学稳定性好等优点,广泛应用于电池、超级电容器、催化、吸附和分离等领域,也是一种热门的用作固相微萃取探针的涂层材料。衍生多孔碳材料因种类丰富、可设计性强被广泛研究,研究主要集中在对衍生多孔碳材料的结构优化方面。但是衍生多孔碳材料在固相微萃取中的应用还存在如下问题:(1)共价有机框架衍生多孔碳材料的制备已取得较大进展,但将其应用于固相微萃取领域的研究仍较少;(2)有待进一步明确制备出的衍生多孔碳材料用作固相微萃取涂层表现出优异提取能力的机理;(3)有待进一步深入研究将衍生多孔碳材料用作固相微萃取涂层以实现对不同物理化学性质污染物的广谱高灵敏度分析。文章综述了近3年衍生多孔碳材料在固相微萃取中的应用研究,并展望了未来衍生多孔碳材料在固相微萃取中的研究前景。引用文献共56篇,主要来源于Elsevier。     

On Support τ-tilting Modules over Endomorphism Algebras of Rigid Ob jects

We consider a Krull–Schmidt, Hom-finite, 2-Calabi–Yau triangulated category with a basic rigid object T, and show a bijection between the set of isomorphism classes of basic rigid objects in the finite presented category pr T of T and the set of isomorphism classes of basic τ-rigid pairs in the module category of the endomorphism algebra End C(T)op. As a consequence, basic maximal objects in pr T are one-to-one correspondence to basic support τ-tilting modules over End C(T)op. This is a generalization of correspondences established by Adachi–Iyama–Reiten.     

A minimum dimensional counterexample to Ganea's conjecture

A 7-dimensional CW-complex having Lusternik-Schnirelmann category equal to 2 is constructed. Using a divisibility phenomenon for Hopf invariants, it is proved that the Cartesian product of the constructed complex with a sphere of sufficiently large dimension also has category 2. This space hence constitutes the minimum dimensional known counterexample to Ganea's conjecture on the Lusternik-Schnirelmann category of spaces.     

Does “game participation cost” affect the advantage of heterogeneous networks for evolving cooperation?

Masuda [N. Masuda, Participation costs dismiss the advantage of heterogeneous networks in evolution of cooperation, Proceedings of the Royal Society B 274 (2007) 1815-1821] reported that a game participation cost (expressed by adding same negative values to all four elements in a 2 × 2 payoff matrix) affects the advantage of heterogeneous networks in the evolution of cooperation. We show that this finding is not always true depending on the features of the network, indicating that participation costs help cooperation in certain situations rather than destroy it. In a weaker dilemma game on a scale free network derived from the Barabasi & Albert algorithm with a larger average degree, game participation cost helps rather than destroy the network reciprocity.     

Lie Derived Lengths of Group Algebras of Groups with Cyclic Derived Subgroup

In this article the Lie derived length and the strong Lie derived length of group algebras are determined in the case when the derived subgroup of the basic group is cyclic of odd order. As a consequence, we have the characterization of the group algebras of minimal strong Lie derived length.     

应急决策知识发现的推理方法研究

在复杂多变的应急决策环境中,如何根据已有的决策背景知识和当前发生的应急问题,进行有效的知识推理是在应急处置过程中实现知识发现的重要途径。本文基于范畴论和定型范畴论,提出了一种从联想和推演两个角度实现的知识推理方法。这种方法是通过类推定型函子(Functor)和推出(Pushout)来实现的,它将推理形式转变成一种范畴化知识结构上的计算过程。该方法能够通过有效的知识推理,从已知的决策背景知识中获得新知识,以辅助决策者进行有效的决策。     

On the multiplicity of solutions of a nonlinear elliptic problem on Riemannian manifolds

We show that the number of solutions of a nonlinear elliptic problem on a Riemannian manifold depends on the topological properties of the manifold. In particular we consider the Lusternik-Schnirelmann category and the Poincaré polynomial of the manifold.     

Weak Bialgebras and Monoidal Categories

We study monoidal structures on the category of (co)modules over a weak bialgebra. Results due to Nill and Szlachányi are unified and extended to infinite algebras. We discuss the coalgebra structure on the source and target space of a weak bialgebra.     

Hopf Quasimodules and Yetter-Drinfeld Modules over Hopf Quasigroups

We introduce the notions of a four-angle Hopf quasimodule and an adjoint quasiaction over a Hopf quasigroup H in a symmetric monoidal category C.If H possesses an adjoint quasiaction,we show that symmetric Yetter-Drinfeld categories are trivial,and hence we obtain a braided monoidal category equivalence between the category of right Yetter-Drinfeld modules over H and the category of four-angle Hopf modules over H under some suitable conditions.