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《代数通讯》2013,41(4):1073-1081
ABSTRACT In this paper, it is proved that if F is a global field, then for any integer n > 3, there is an extension field E over F of degree n such that K 2 E is not generated by the Steinberg symbols {a, b} with a ∈ F*, b, ∈ E*. If however, F is a number field and D is a finite-dimensional central division F-algebra with square free index, then K 2 D is always generated by the Steinberg symbols {a, b} with a ∈ F*, b ∈ D*. Finally, the tame kernels of central division algebras over F are expressed explicitly. 相似文献
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令F表示任意域,l_(2m)(F)表示F上D_m型正交李代数的极大幂零子代数.本文的目的是当m≥5时,刻画l_(2m)(F)上的每一个双向保零李括积的映射.利用文献[7]的主要结果和矩阵计算技巧,本文证明了l_(2m)(F)上的一个线性映射φ是双向保零李括积的当且仅当φ能够写成内自同构,图自同构,广义的对角自同构,中心映射,次中心自同构,极端映射和标量乘法的乘积.这推广了文献[7]的主要结果. 相似文献
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Xiangyi Zhang Jingwu Zhang Fuxiang Zhang Wen Yu Duanwei He Liming Cao Jianhua Zhao Riping Liu Yingfan Xu Wenkui Wang 《中国科学A辑(英文版)》1999,42(4):407-413
The formation of nanocrystalline Fe73.5 Cu1Nb3Si13.5 B9 alloy by annealing an amorphous Fe73.5Cu1Nb3Si13.5B9 alloy at a temperature of 823 K under pressures in the range of 1–5 GPa is investigated by using X-ray diffraction, electron
diffraction, and transmission electron microscopy. The high pressure experiments are carried out in belt-type pressure apparatus.
Experimental results show that the initial crystalline phase in these annealed alloys is a-Fe solid solution (named a-Fe phase
below), and high pressure has a great influence on the crystallization process of the a-Fe phase. The grain size of the a-Fe
phase decreases with the increase of pressure (P). The volume fraction of the a-Fe phase increases with increasing the pressure
as the pressure is below 2 GPa, and then decreases (Pδ2 GPa). The mechanism for the effects of the high pressure on the crystallization
process of amorphous Fe73.5Cu1Nb3Si13.5B9 alloy is discussed
Project supported by the National Natural Science Foundation of China (Grant No. 19674070) and the Natural Science Foundation
of Hebei Province. 相似文献
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Yang Li Guohui Cao Ruifei Duan Guangcan Che Zhongxian Zhao J. A. Larrea J E. M. Baggio-Saitovitch 《中国科学A辑(英文版)》2000,43(4):400-406
119Sn M?ssbauer research is carried out on (La1-xSrx),Cu1-xSnxO4(x = 0.075 and 0.110) superconductors which are designed under a new concept. The M?ssbauer spectra results show that Sn occupies
Cu position in Sn4+ state, and there is no Sn2+ ion occupying La position. The local lattice deformation near Sn4+ site is small, but displays an increasing tendency with Sn doping. For La2CuO4 matrix, the simultaneous dopings of Sr/Sn induce holes and electrons on CuO2 layer in a new mechanism which influences superconductivity. Under a new mechanism of extra oxygen, the extra oxygen effect
of Sn-doping on superconductivity is discussed 相似文献
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Duanwei He Fuxiang Zhang Xiangyi Zhang Ming Zhang Riping Liu Yingfan Xu Wenkui Wang 《中国科学A辑(英文版)》1998,41(4):405-410
C3N4 crystals with the size of several micrometers have been synthesized from C3N4H4 in the presence of nickel-based alloy or cobalt as catalyst under high pressure of 7 GPa and temperature of about 1400°C
for 10 min. Scanning electron microscopy, energy-disperse X-ray analysis, and X-ray diffraction were used to examine the grown
crystals. The general rule on selecting the starting materials for synthesis of carbon nitride crystals at high pressures
and high temperatures is suggested. 相似文献
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Jialin Zhu Liangchen Chen Richeng Yu Fengying Li Jing Liu Changqing Jin 《中国科学A辑(英文版)》2002,45(7):900-905
In situ high pressure energy dispersive X-ray diffraction measurements on the layered perovskite-like manganate Ca3Mn2O7 powder under pressures were performed by using the diamond anvil cell with synchrotron radiation. The results show that the
structure of layered perovskite-like manganate Ca3Mn2O7 is unstable under pressure due to the easy compression of NaCl-type blocks. The structure of Ca3Mn2O7 underwent two phase transitions under pressures in the range of 0–35 GPa. One was at about 1.3 GPa with the crystal structure
changing from tetragonal to orthorhombic. The other was at about 9.5 GPa with the crystal structure changing from orthorhombic
back to another tetragonal. 相似文献
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Ulyanova T. M. Basalyga I. I. Paemurd E. S. Krut'ko N. P. 《Mechanics of Composite Materials》2002,38(2):163-168
The interaction between a fibrous alumina filler and a hydrated zirconia matrix during the fabrication of ceramic composites is studied. The influence of the crystal structure and porosity of the filler on the properties of the ZrO2-Al2O3 composite material is investigated. It is found that, as a result of addition of alumina fibers of cubic and monoclinic structures (- and -phases), the ZrO2 hydrogel interacts with fibers and solid ZrO2 solutions of tetragonal structure are formed. These solutions exist over the range of 600 to 1200°C and, at annealing above 1200°C, due to crystallographic transitions the of - and -phases, they break down, namely Al2O3 transforms into -corundum and ZrO2 into a monoclinic modification. However, the material does not fail and a stable porous ceramic composite is formed. To manufacture a composite with improved mechanical characteristics, fibrous alumina fillers with the structure of -corundum must be used. 相似文献
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Riping Liu Jianhua Zhao Xiangyi Zhang Duanwei He Zhicheng Qin Yingfan Xu Wenkui Wang 《中国科学A辑(英文版)》1999,42(1):74-79
The microstructure of Pd77.5Au6Si16.5alloy solidified both on board a Chinese Retrievable Satellite and on the earth is studied. Postmortem analyses of microstructure
presented that the same types of phases, primary phase (Pd3Si) and eutectics (Pd3Si + Pd solid solution) were formed in both cases. But the phase morphologies were quite different. It was dendritic for the
primary phase and lamellar for the eutectics under normal gravity condition. However, under microgravity condition the primary
phase was granular and the eutectic was peculiar network. Detailed analysis showed that the differences in morphologies of
the microstructure were due to the existence of gravity-induced buoyancy convection on the earth which increased the mass
transport abilities and decreased the thickness of the solute boundary in front of the solid-liquid interface during solidification
under normal gravity condition. 相似文献
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Caoshui Xiong Li Pi Yeqing Tang Hong Zhu Denggang Zong Junfeng Zhang Yunfei Deng Jingsheng Zhu Yuheng Zhang 《中国科学A辑(英文版)》1999,42(1):106-112
The La0,67Sr0.33Mn03 +δ/Pr0.7Cao.3Mn03+δ/La0.67Sr0.33Mn03+δ(LPL) trilayered films on (100)LaA-1O3 substrates are prepared by using direct current (DC) magnetron sputtering method. The results obtained by means of X-ray
powder diffractometer show that all films are the high quality epitaxial films. The results gained by SQUID magnetometer indicate
that there is a magnetic coupling in the LPL trilayered films. The resistivities of LSMO, PC-MO and LPL films are measured
using standard four-probe method and analyzed logp-1/T curve. From the results it is concluded that the middle-layered PCMO which is ferromagnetic may play a role of intra-magnetic
field, which weakens the paramagnetism of LSMO film, lowersp
max and enlargesT
p
which is the transition temperature from metal to insulator, just as the applied magnetic field does. And the middle-layered
PCMO may induce the change of the density of states in the LSMO’s gap. The two reasons above make the resistivity andT
p
of the samples in zero field change with the thickness of PCMO layers.
Project supported by the Chinese Academy of Sciences and the Foundation of State Science and Technology Commission of China. 相似文献
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本文首先讨论空间l1(Xn)中的弱收敛性,然后给出了l1(Xn)中弱紧性的几种等价刻画,同时对lp(Xn)(1<p<∞)中的弱紧性也得到了类似的结果. 相似文献
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Cocalibrated G2-manifolds are seven-dimensional Riemannian manifolds with a distinguished 3-form which is coclosed. For such a manifold M, S. Salamon in Riemannian Geometry and Holonomy Groups (Longman, 1989) defined a differential complex
related with the G2-structure of M.In this paper we study the cohomology
of this complex;it is treated as an analogue of a Dolbeault cohomologyof complex manifolds. For compact G2-manifoldswhose holonomy group is a subgroup of G2 special propertiesare proved. The cohomology
of any cocalibrated G2-nilmanifold \K is also studied. 相似文献