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On the Indecomposable Modules of U_q(sl(2)) Constructed via Ore-extension

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Acta Mathematica Sinica,English Series 2013年第7期29卷 1391-1400页

作者： zhi hua WANG Li Bin LI School of Mathematics Yangzhou University Department of Mathematics Taizhou College Nanjing Normal University

Let A be a subalgebra of uq（sl（2）） generated by K, K-1 and F and A^δ be a subalgebra of b/q（sl（2）） generated by K, K-1 （and also Fd if q is a primitive d-th root of unity with d an odd number）. Given an Aδ-module M, a/gq（s/（2））-module A A M is constructed via the iterated Ore extension of Uq（S/（2）） in a unified framework for any q. Then all the submodules of A δA5 M are determined for a fixed finite-dimensional indecomposable Aδ-module .M. It turns out that for some indecomposable A^-module M, the 5/q（sl（2））-module A @A M is indecomposable, which is not in the BGG-categories associated with quantum groups in general.

关键词： Ore-extension indecomposable module quantum group

Weak Cartan-type Second Main Theorem for Holomorphic Curves

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Acta Mathematica Sinica,English Series 2008年第3期24卷 455-462页

作者： Qi Ming YAN zhi hua CHEN Department of Mathematics Tongji University Shanghai 200092 P. R. China

In this paper, a weak Cartan-type second theorem for holomorphic curve f ： C→P^n（C） intersecting hypersurfaces Dj, 1≤j≤q, in P^n（C） in general position with degree dj is given as follows： For every ε〉0, there exists a positive integer M such that ｜｜（q - （n ＋ 1） ε）Tf（r）≤∑j^q=1 1/dj Nf^M（r,Dj）＋o（Tf（r））, where ＂｜｜＂ means the estimate holds for all large r outside a set of finite Lebesgue measure.

关键词： holomorphic curve Nevanlinna Theory second main theorem hypersurface

Fuzzy Stability of Quadratic-cubic Functional Equations

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Acta Mathematica Sinica,English Series 2011年第11期27卷 2191-2204页

作者： zhi hua WANG Wan Xiong ZHANG Department of Mathematics Sichuan University Chengdu 610064 P. R. China School of Science Hubei University of Technology Wuhan 430068 P. R. China College of Mathematics and Statistics Chongqing University Chongqing 401331 P. R. China

In this paper, the direct method and the fixed point alternative method are implemented to give Hyers-Uiam-Rassias stability of the functional equation 6f（x＋y）-6f（x-y）＋4f（3y）=3f（x＋2y）-3f（x-2y）＋9f（2y） in fuzzy Banach spaces. We can find the range of approximate solutions obtained using the direct method are less than those obtained by using the fixed point alternative method for the above and the functional equation.

关键词： Fuzzy normed space quadratic-cubic functional equation fixed point alternative method Hyers-Ulam-Rassias stability

Dual template approach for the synthesis of hierarchically mesocellular carbon foams

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Chinese Chemical Letters 2009年第1期20卷 123-126,F0003页

作者： Ming Xian Liu Li hua gan Ci Tian Jian Chun Zhu Zi Jie Xu zhi Xian Hao Long Wu Chen Department of Chemistry Tongji University Shanghai 200092 China

We demonstrated a simple and effective dual-templating approach for the synthesis of hierarchically mesocellular carbon foams by using nonionic surfactant of sorbitan monooleate and silica colloid particles as sacrificial templates, and resorcinol/ formaldehyde as carbon source. The representative carbon foam has dual mesopore sizes of 4 and 10 nm, and possesses the specific surface area of 580 m^2/g and the total pore volume of 0.80 cm^3/g.

关键词： Hierarchically mesocellular carbon foams Dual templates Sorbitan monooleate Silica colloid particles

Chromium Extraction from Sewage Sludge Using Polyepoxysuccinic Acid

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Pedosphere 2012年第1期22卷 131-136页

作者： ZHANG Li-hua ZHU zhi-Liang Department of Chemistry and Biology Engineering Sanming UniversitySanming 365004(China) State Key Laboratory of Pollution Control and Resource Reuse Tongji UniversityShanghai 200092(China)

An environmentally benign biodegradable chelant,polyepoxysuccinic acid(PESA),was used to separate heavy metals from sewage sludge from the Shanghai Taopu Wastewater Treatment Plant,China,based on chemical extraction *** extraction of chromium(Cr) from sewage sludge with an aqueous solution of PESA was studied under various *** was found that the extraction of Cr using PESA was more efficient than that using ethylenediaminetetraacetic acid(EDTA) and S,S-ethylenediaminedisuccinic acid(EDDS) under similar *** was capable of extracting Cr from the sewage sludge,and the extraction efficiency was obviously dependent on both the pH and the concentration of the chelating *** extraction efficiency decreased gradually with increasing pH,and the dependence on pH decreased as the concentration of PESA *** extraction efficiency reached 58% under conditions of pH = 4 and a ratio of PESA to total heavy metals of 10:*** extraction efficiency was maintained above 40% within the pH range from 1 to 7 at the high ratio of PESA to total heavy metals of 10:*** the contents of heavy metals in the sewage sludge before and after the extraction,it was found that the extracted Cr came mainly from the reducible and oxidizable fractions.

关键词： ethylenediaminetetraacetic acid extraction efficiency heavy metals pH S S-ethylenediaminedisuccinic acid

On Realization of Fusion Rings from Generalized Cartan Matrices

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Acta Mathematica Sinica,English Series 2017年第3期33卷 362-376页

作者： zhi hua WANG Li Bin LI Department of Mathematical Sciences Taizhou University(Jiangsu) School of Mathematical Science Yangzhou University

The Casimir element of a fusion ring （R, B） gives rise to the so called Casimir matrix C of （R,B）. This enables us to construct a generalized Cartan matrix D - C in the sense of Kac for a suitable diagonal matrix D. In this paper, we study some elementary properties of the Casimir matrix C and use them to realize certain fusion rings from the generalized Cartan matrix D - C of finite （resp. affine） type. It turns out that there exists a fusion ring with D - C being of finite （resp. affine） type if and only if D - C has only the form A2 （resp. A1^（1）））. We also realize all fusion rings with D - C being a particular generalized Cartan matrix of indefinite type.

关键词： Fusion ring Casimir matrix generalized Cartan matrix

Changes in fungal community and diversity in strawberry rhizosphere soil after 12 years in the greenhouse

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Journal of Integrative Agriculture 2019年第3期18卷 677-687页

作者： LI Wei-hua LIU Qi-zhi College of Plant Protection China Agricultural University

Soil fungi play a very important role in the soil ecological environment. In agricultural production, long-term monoculture and continuous cropping lead to changes in fungal community diversity. However, the effects of long-term monoculture and continuous cropping on strawberry plant health and fungal community diversity have not been elucidated. In this study, using high-throughput sequencing(HTS), we compared the fungal community and diversity of strawberry rhizosphere soil after various durations of continuous cropping(0, 2, 4, 6, 8, 10 and 12 years). The results showed that soil fungal diversity increased with consecutive cropping years. Specifically, the soil-borne disease pathogens Fusarium and Guehomyces were significantly increased after strawberry continuous cropping, and the abundance of nematicidal(Arthrobotrys) fungi decreased from the fourth year of continuous cropping. The results of correlation analysis suggest that these three genera might be key fungi that contribute to the changes in soil properties that occur during continuous cropping. In addition, physicochemical property analysis showed that the soil nutrient content began to decline after the fourth year of continuous cropping. Spearman's correlation analysis showed that soil pH, available potassium(AK) and ammonium nitrogen(NH_4^+-N) were the most important edaphic factors leading to contrasting beneficial and pathogenic associations across consecutive strawberry cropping systems.

关键词： fungal community soil-borne disease replanted strawberry rhizosphere soil agricultural soil ecology

Microenvironment of Liver Regeneration in Liver Cancer

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Chinese Journal of Integrative Medicine 2017年第7期23卷 555-560页

作者： LI Han-min YE zhi-hua Institute of Application Foundation and Institute of Liver Diseases Hubei Provincial Hospital of Traditional Chinese Medicine Affiliated Hospital of Hubei University of Chinese Medicine Wuhan 430061 China Hubei Province Academy of Traditional Chinese Medicine Wuhan 430074 China

The occurrence and development of liver cancer are essentially the most serious outcomes of uncontrolled liver regeneration. The progression of liver cancer is inevitably related to the abnormal microenvironment of liver regeneration. The deterioration observed in the microenvironment of liver regeneration is a necessary condition for the occurrence, development and metastasis of cancer. Therefore, the use of a technique to prevent and treat liver cancer via changes in the microenvironment of liver regeneration is a novel strategy. This strategy would be an effective way to delay, prevent or even reverse cancer occurrence, development and metastasis through an improvement in the liver regeneration microenvironment along with the integrated regulation of multiple components, targets, levels, channels and time sequences. In addition, the treatment of ＂tonifying Shen（Kidney） to regulate liver regeneration and repair by affecting stem cells and their microenvironment＂ can regulate ＂the dynamic imbalance between the normal liver regeneration and the abnormal liver regeneration＂; this would improve the microenvironment of liver regeneration, which is also a mechanism by which liver cancer may be prevented or treated.

关键词： liver regeneration microenvironment liver cancer tonifying Shen(Kidney) to regulate liver regeneration and repair by affecting stem cells and their microenvironment

A Filter Method for Nonlinear Semidefinite Programming with Global Convergence

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Acta Mathematica Sinica,English Series 2014年第10期30卷 1810-1826页

作者： zhi Bin ZHU hua Li ZHU School of Mathematics and Computing Science Guilin University of Electronic Technology

In this study, a new filter algorithm is presented for solving the nonlinear semidefinite programming. This algorithm is inspired by the classical sequential quadratic programming method. Unlike the traditional filter methods, the sufficient descent is ensured by changing the step size instead of the trust region radius. Under some suitable conditions, the global convergence is obtained. In the end, some numerical experiments are given to show that the algorithm is effective.

关键词： Cone programming nonlinear semidefinite programming filter method step size globalconvergence