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Characteristic modules of quasi-hereditary algebras with three samples

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Chinese Science Bulletin 1997年第6期42卷 450-454页

作者： ZHANG Pu and lin Yanan1. Department of mathematics, {2. of Science and Technology of{2., Hefei 2.002.,{2. 2. Department of mathematics, xiamen university, xiamen 361005,{2. Department of mathematics University of Science and Technology of China Hefei China Department of mathematics Xiamen University Xiamen China

ClinE et al. have introduced the concept of quasi-hereditary algebra, which provided a

关键词： tilting module characteristic module quasi-hereditary algebra.

Maximal possible accretion rates for slim disks

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Science china(Physics,Mechanics & Astronomy) 2009年第12期52卷 2054-2058页

作者： lin YiQing1 & JIAO ChengLiang2.1 Department of mathematics and Physics,{2. {2. of Technology,{2. 36102.,china 2.Department of Physics and Institute of Theoretical Physics and Astrophysics,{2. {2.,{2. 361005,china Department of mathematics and Physics Xiamen University of Technology Xiamen China Department of Physics and Institute of Theoretical Physics and Astrophysics Xiamen University Xiamen China

It was proved in the previous work that there must be a maximal possible accretion rate $ \dot M_{max} $ for a slim disk. Here we discuss how the value of $ \dot M_{max} $ depends on the two fundamental parameters of the disk, namely the mass of the central black hole M and the viscosity parameter α. It is shown that $ \dot M_{max} $ increases with decreasing α, but is almost independent of M if $ \dot M_{max} $ is measured by the Eddington accretion rate $ \dot M_{Edd} $ , which is in turn proportional to M.

关键词： accretion disks black hole physics hydrodynamics

Subcategories of fixed points of mutations in root categories with type _(n-1)

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Science china mathematics 2010年第12期53卷 3057-3066页

作者： lin YaNan1 & TANG LiDan1,2.1School of Mathematical Sciences, xiamen university, {2. 361005,{2. 2.ollege of mathematics and Computer Science, Fuzhou university, Fuzhou 350108,{2. School of Mathematical Sciences Xiamen University Xiamen China College of mathematics and Computer Science Fuzhou University Fuzhou China

For any n 3, let R(n) denote the root category of finite-dimensional nilpotent representations of cyclic quiver with n vertices. In the present paper, we prove that R(n-1) is triangle-equivalent to the subcategory of fixed points of certain left (or right) mutation in R(n). As an application, it is shown that the affine Kac-Moody algebra of type n-2.is isomorphic to a Lie subalgebra of the Kac-Moody algebra of type n-1.

关键词： subcategory of fixed points root category Lie algebra

Swift/BAT Observations of X-Ray Flashes

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Chinese Journal of Astronomy and Astrophysics 2008年第3期8卷 309-313页

作者： Yi-Qing lin Department of mathematics and Physics Xiamen University of Technology Xiamen 361024 China

An analysis of prompt gamma-rays of X-ray flashes （XRFs） observed with the Swift/BAT has been presented. Our sample includes 2.5 bursts. It is found that the BAT detection ratio of XRFs to typical Gamma-ray bursts （GRBs） is 42.193, for division at Г= 2.（roughly corresponding Ep ～ 50 keV）, Г being the power law index of the BAT spectrum and Ep, the peak energy （Ep） of the vfv, spectrum. This is consistent with the HETE-2.observations. For both XRFs and GRBs F are almost normally distributed in the range of 1 to 2.8, similar that observed with HETE-2. The distribution of F for the entire set of GRBs/XRFs is not available due to poor statistics on the peak at Г 〉 2.3. This result probably indicates that the BAT spectrum of a typical XRF could have a Г of roughly 2.3, if they indeed are a distinct soft component of the GRB population. By comparing the fluence and the peak flux in different energy bands, it is found that the XRFs are ordinarily softer than the GRBs, but during the peak time the spectra of both GRBs and XRF are similar, showing that the dominant radiation mechanisms of both GRBs and XRFs are similar.

关键词： gamma-rays bursts

Correlativity between neural complex and gonadal development in Styela plicata

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Chinese Science Bulletin 1997年第10期42卷 864-867页

作者： FANG Yongqiang, lin Jiahan and HUANG Weiquan1. Third Institute of Oceanography, State Oceanic Administration, xiamen 361005,{2. 2. Department of Biology, xiamen U-niversity, xiamen 361005,{2. 3. Fourth Military Medical university, Xi’an 710032.{2. Third Institute of Oceanography State Oceanic Administration Xiamen China Department of Biology Xiamen University Xiamen China Fourth Military Medical university Xi’an China

IT has been demonstrated that two reproductive hormones,gonadotropin-releasing hormone(GnRH)and gonadotropin(GTH),exist in the nervous system and Hatschek’s pit oflancelet,a species of Cephalochordata,and that these ... 详细信息

关键词： Styela plicata neural complex reproductive hormone.

Distribution characteristics of zooplankton in the south part of Taiwan Strait in summer

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Acta Oceanologica Sinica 2000年第1期19卷 127-135页

作者： Zhu Changshou Huang Jiaqi lin Junzhou Du Qinghong Chen Xu Li Shaojing (1. Fujian Institute of Oceanology, xiamen 361012.{2. 2. Department of Oceanography,{2., xiamen 361005,{2.) Fujian Institute of Oceanology Xiamen 361012 China Department of Oceanography Xiamen University Xiamen 361005 China

Based on the samples collected mesoplankton net from the south part Of Taiwan Strait (2.. 2. --2.. 65N, 117. 50 -- 12.. 00E) in August 1997, 2.2.species of zooplankton and 11 groups of meroplankton were identified. In the survey waters, Copepoda was dominant in either species or individual numbers. The diversity (H' ) was 5. 11 and the ratio of diversity to evenness (J ) was 7. 10, showing that the diversity of zooplankton was exceedingly high in the survey waters. Three zooplankton communities were clearly divided by systematical cluster analysis, indicating that the biotopes of these zooplankton communities may serve as the evidence for the basic status of distribution of water masses during the investigation.

关键词： Zooplankton species diversity distribution characteristics Taiwan Strait

Tubular algebras and affine Kac-Moody algebras

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Science china mathematics 2007年第4期50卷 521-532页

作者： Zheng-xin CHEN & Ya-nan lin School of mathematics and Computer Science, Pujian Normal {2., Fuzhou 350007,{2. School of Mathematical Sciences, xiamen university, xiamen 361005,{2. School of mathematics and Computer Science Fujian Normal University Fuzhou China School of Mathematical Sciences Xiamen University Xiamen China

The purpose of this paper is to construct quotient algebras L(A) 1 ? /I(A) of complex degenerate composition Lie algebras L(A) 1 ? by some ideals, where L(A 1 ? is defined via Hall algebras of tubular algebras A, and to prove that the quotient algebras L(A) 1 ? /I(A) are isomorphic to the corresponding affine Kac-Moody algebras. Moreover, it is shown that the Lie algebra L re(A) 1 ? generated by A-modules with a real root coincides with the degenerate composition Lie algebra L(A) 1 ? generated by simple A-modules.

关键词： tubular algebras affine Kac-Moody algebras Hall algebras degenerate composition Lie algebras modules with real root 16G70 17B67

The several transformation formula in several complex variables and its applications

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Science china mathematics 2010年第6期53卷 1541-1553页

作者： HUANG YuSheng1,& lin LiangYu2.1Department of mathematics,Putian College,Putian 351100,{2. 2.chool of Mathematical Sciences,{2. university,Xiaman 361005,{2. Department of mathematics Putian College Putian China School of Mathematical Sciences Xiamen University Xiaman China

In this paper,by the method of global analysis,the authors give a new global integral transformation formula and obtain the Plemelj formula with Hadamard principal value of higher-order partial derivatives for the integral of Bochner-Martinelli type on a closed piecewise smooth orientable manifold ***,the authors obtain the composition formula,Poincar'e-Bertrand extended formula of the corresponding singular *** the application of some results,the authors also study a higher-order Cauchy boundary problem and a regularization problem of higher-order linear complex differential singular integral equation with variable coefficients.

关键词： integral transformation Bochner-Martinelli type integral higher-order partial derivative Plemelj formula composition formula Poincar’e-Bertrand formula

Controllable incorporation of CdS nanoparticles into TiO_2.nanotubes for highly enhancing the photocatalytic response to visible light

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Science china Chemistry 2009年第12期52卷 2148-2155页

作者： WANG Chenglin1,SUN Lan1,XIE KunPeng1 & lin ChangJian1,2.1 Department of Chemistry,College of Chemistry and Chemical Engineering,{2. university,{2. 361005,china 2.State Key Laboratory of Physical Chemistry of Solid Surfaces,{2. university,{2. 361005,china Department of Chemistry College of Chemistry and Chemical Engineering Xiamen University Xiamen China State Key Laboratory of Physical Chemistry of Solid Surfaces Xiamen University Xiamen China

A constant current electrochemical deposition was employed to incorporate CdS nanoparticles into the TiO2.nanotube arrays (TiO2.Ts). The size and amount of CdS nanoparticles in TiO2.Ts (CdS@TiO2.Ts) were controllable via modulating current,deposition time and electrolyte concentration. It was revealed,from the scanning electron microscopy (SEM) images and X-ray photoelectron spectroscopy (XPS) in depth profile,that CdS nanoparticles were filled into TiO2.nanotubes. A shift of the absorption edge toward the visible region under the optimal electrodeposition condition was observed with the diffuse reflectance spectroscopy (DRS). A 5-fold enhancement in the photocurrent spectrum for TiO2.Ts was observed and the photocurrent response range was significantly extended into the visible region because of the CdS incorporation. Compared with pure TiO2.Ts,under a visible light irradiation,CdS@TiO2.Ts exhibited a 3.5-fold improvement of photocatalytic activity,which was demonstrated by the photocatalytic decomposition of Rhodamine B (RhB).

关键词： TiO2 nanotube CdS photocatalysis RhB