拟-Armendariz模

For a right R-module N, we introduce the quasi-Armendariz modules which are a common generalization of the Armendariz modules and the quasi-Armendariz rings, and investigate their properties. Moreover, we prove that NR is quasi-Armendariz if and only if Mm(N)Mm(R) is quasi-Armendariz if and only if Tm(N)Tm(R) is quasi-Armendariz, where Mm(N) and Tm(N) denote the m×m full matrix and the m×m upper triangular matrix over N, respectively. NR is quasi-Armendariz if and only if N[x]R[x] is quasi-Armendariz. It is shown that every quasi-Baer module is quasi-Armendariz module.     

广义Fitting模的扩张

In this paper, we study the closeness of strongly （∞）-hopfian properties under some constructions such as the ring of Morita context, direct products, triangular matrix, fraction ring etc. Also, we prove that if M[X] is strongly hopfian （resp. strongly co-hopfian） in R[X]-Mod, then M is strongly hopfian （resp. strongly co-hopfian） in R-Mod.     

12C6+离子辐照对阿维链霉菌代谢效应研究

对12C6+ 离子辐照诱变高产阿维链霉菌株ZJAV-Y1-203 和原始菌株ZJAV-A-1 的摇瓶发酵pH 值、菌体浓度、碳源和氮源代谢进行了测定,研究了12C6+ 辐照对阿维链霉菌的代谢效应。在发酵前期(48h),原始菌株发酵液pH 值低于突变菌株;在发酵96~196 h,诱变高产菌株ZJAV-Y1-203 繁殖快,生长旺盛,N的利用率高;菌体浓度大于原始菌株的浓度,且发酵液的pH 稳定,菌体处于代谢相对更稳定期;在发酵144~240 h,诱变高产菌株ZJAV-Y1-203 对糖源消耗低于原始菌株ZJAV-A-1。这些结果表明,12C6+ 离子辐照对阿维链霉菌代谢影响有利于阿维菌素合成。pH value, mycelium concentration, carbon source and nitrogen metabolism in flask fermentation of the mutant high-producing strain ZJAV-Y1-203 and the original strain ZJAV-A1 have been investigated, in order to show the metabolic effect of avermitilis irradiated by ion beam of 12C6. In early stage (48 h) of the fermentation, pH value of the original fermentation was lower than that of the mutant strains. In 96~196 h of fermentation, the nitrogen utilization in the strains ZJAV-Y1-203 was higher than that in the original strains, its reproductive was fast, and its growing was vigorous. The mycelium concentration of ZJAV-Y1-203 was greater than the original strain, and the pH value of fermentation were stable, so its metabolism was relatively more stable. In 144240 h of fermentation, the strain ZJAV-Y1-203 on sugar consumption was less than the original strains. The effect of 12C6 ion irradiation on metabolism of Streptomyces avermitilis is conducive to the synthesis of avermectin.     

相对于半对偶化模的Gorenstein同调维数与Auslander范畴

设$R$是一个局部noether环. 我们在本文中研究了相对于半对偶化模$C$的Gorenstein投射, 内射与平坦模. 给出了$C$-Gorenstein同调维数与$\hat{R}$的Auslander范畴之间的关系.     

带Neumann 边界条件的$p(x)$-Kirchhoff 型椭圆系统的研究

本文研究一类带Neumann 边界条件的~$p(x)$-Kirchhoff 型系统解的存在性. 借助于Ekeland变分原理和变指数Sobolev空间理论, 我们给出使得该问题存在解的合适条件.由于Poincar\'{e} 不等式在$W^{1,p(x)}(\Omega)$ 中不再成立, 我们将在$W^{1,p(x)}(\Omega)$ 的某个子空间中证明Poincar\'{e}-Wirtinger 不等式.     

不同剂量重离子辐照玉米自交系的生物学效应比较

用12C6+和 36Ar18+离子束分别辐照玉米自交系干种子和浸泡种子, 研究了M1—M3代重离子束辐照的生物学效应。 结果表明: 种子发芽势和发芽率随辐照剂量的增加而下降, 不同生理状态的种子对重离子辐照的敏感性也不同。 一般12C6+ 离子辐照干种子的适宜剂量为20—25 Gy; M1代叶型发生明显的变化, M2代植株在株高、穗位、单株穗数、雄穗花药颜色、粒质、穗行数、粒重和抗性等方面均发生了变化, 并产生了许多有益的变异,包括株高和穗位降低、同位多穗、穗行数和粒重增加、粒质由粉质变为硬粒以及抗锈病和红叶病的植株等, 有益突变的频率达7.0％—17.9％;在M3代出现能够稳定遗传的,并且光合效率增加的有益突变株。由此可见,重离子束辐照是玉米种质改良的一种高效手段。 In order to study biological effects of heavy ion irradiation on maize inbred lines, the agronomic traits and photosynthetic rates were investigated from M1 to M3 of maize seeds irradiated with 12C6+ and 36Ar18+ ions．The results showed that the germination rate and planting percent of maize seeds irradiated were decrease as dosage increasing of heavy ion irradiation. Different physiological status of seeds had disparate sensibility to heavy-ion irradiation and the suitable dosage of 12C6+ ion irradiation was 20—25 Gy for dry maize seeds. The leaf type of the plant happened visible changes in M1 generation. The plant height, spike position, spike number per plant, anther color of staminate,grain texture,spike row,grain weight and resistance had changes in M2 generation. Among them occurred some beneficial mutations that include degrading of plant height and spike position height, multi spike at same position in the plant, increasing of pike row and grain change of grain texture from powder seed to hard seed,resistance to rust disease and red leaf disease and so on. The frequency of beneficial mutation was 7.0％—17.9％. Those beneficial mutations could be stably inherited and mutant plants with high photosynthetic efficiency emerged in M3 generation. The study above showed that heavy ion irradiation is a high performance means for improvement germplasm of maize.     

Novel biogeography-based optimization algorithm with hybrid migration and global-best Gaussian mutation

The Biogeography-Based Optimization algorithm and its variants have been used widely for optimization problems. To get better performance, a novel Biogeography-Based Optimization algorithm with Hybrid migration and global-best Gaussian mutation is proposed in this paper. Firstly, a linearly dynamic random heuristic crossover strategy and an exponentially dynamic random differential mutation one are presented to form a hybrid migration operator, and the former is used to get stronger local search ability and the latter strengthen the global search ability. Secondly, a new global-best Gaussian mutation operator is put forward to balance exploration and exploitation better. Finally, a random opposition learning strategy is merged to avoid getting stuck in local optima. The experiments on the classical benchmark functions and the complexity functions from CEC-2013 and CEC-2017 test sets, and the Wilcoxon, Bonferroni-Holm and Friedman statistical tests are used to evaluate our algorithm. The results show that our algorithm obtains better performance and faster running speed compared with quite a few state-of-the-art competitive algorithms. In addition, experimental results on Minimum Spanning Tree and K-means clustering optimization show that our algorithm can cope with these two problems better than the comparison algorithms.