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关于幂等代数族中的根类
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作者 梁治安 《内蒙古大学学报(自然科学版)》 CAS CSCD 1993年第5期451-454,共4页
Barry Gardner在幂等代数族中定义了根类和半单类,并且证明了许多在结合环族中成立的结果在同余可换族中也成立。他还给出了一些幂等代数族中的根类的例子。在本文中,我们继续考虑由Barry定义的根类。
关键词 根类 半单类 同余类 幂等代数族
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含参代数曲面族的拼接问题
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作者 郭明浩 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2012年第2期267-269,共3页
考虑含参代数曲面族的拼接问题.先将代数曲面的几何连续性定义及一些关于拼接的经典理论推广到含参代数曲面族情形,再将全局Grbner系统方法应用到含参代数曲面族拼接问题中.结果表明,计算得到的拼接曲面族与输入曲面族"正好"... 考虑含参代数曲面族的拼接问题.先将代数曲面的几何连续性定义及一些关于拼接的经典理论推广到含参代数曲面族情形,再将全局Grbner系统方法应用到含参代数曲面族拼接问题中.结果表明,计算得到的拼接曲面族与输入曲面族"正好"拼上. 展开更多
关键词 含参代数曲面 拼接 几何连续性 全局Gro¨bner系统
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PL(Ω,ω)条件与APL(Ω,ω)条件的等价关系
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作者 张婧 王光 《中北大学学报(自然科学版)》 CAS 北大核心 2013年第5期548-550,554,共4页
代数族V上关于特殊的函数u=log(1+|z|)的Phragmén-Lindelf条件PL(Ω)与APL(Ω)条件之间的关系已有很多研究,为更好地研究常系数线性偏微分算子右逆的性质提供了新的途径和方法.对更为一般的关于权函数ω(z)的Phragmén-Linde... 代数族V上关于特殊的函数u=log(1+|z|)的Phragmén-Lindelf条件PL(Ω)与APL(Ω)条件之间的关系已有很多研究,为更好地研究常系数线性偏微分算子右逆的性质提供了新的途径和方法.对更为一般的关于权函数ω(z)的Phragmén-Lindelf条件,借助代数族V的正则点上的多重次调和函数u,得到了PL(Ω,ω)条件与APL(Ω,ω)条件的等价性,通过选择适当的Phragmén-Lindelf条件更好地刻画了常系数线性偏微分算子P(D)的线性连续右逆的存在性. 展开更多
关键词 Phragmen-Lindelof条件 权函数 多重次调和函数 代数族
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实解析函数空间上两个Phragme’n-Lindel?f条件的等价性
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作者 张婧 曹峰 王光 《太原师范学院学报(自然科学版)》 2019年第2期1-4,共4页
实解析函数空间上常系数线性偏微分算子P(D)的满射性与代数族V上的HPL(Ω)条件之间的关系已经明确.在此基础上,借助H?mander边值理论,研究与常系数线性偏微分算子P(D)解的存在性密切相关的两个Phragme’n-Lindel?f条件,证明了代数族V满... 实解析函数空间上常系数线性偏微分算子P(D)的满射性与代数族V上的HPL(Ω)条件之间的关系已经明确.在此基础上,借助H?mander边值理论,研究与常系数线性偏微分算子P(D)解的存在性密切相关的两个Phragme’n-Lindel?f条件,证明了代数族V满足关于一般多重次调和函数u的HPL(Ω)条件等价于它满足关于特殊的多重次调和函数u=log|f|的HAPL(Ω)条件,其中f为¢n上的整函数,这使得研究常系数线性偏微分算子P(D)的满射性等问题更加便捷. 展开更多
关键词 Phragme’n-Lindel?f条件 代数族 多重次调和函数 紧凸集
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重极限和二重极限研究
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作者 张龙朝 《延安大学学报(自然科学版)》 2002年第2期20-22,共3页
直极限和逆极限是泛代数中生成新代数的方法 ,为了进一步研究新代数的生成 ,给出了重集族和重极限的定义 ;研究了代数的重极限、二重直集族及二重直极限及其相应性质 ;讨论了二重代数族和二重直代数族的极限。
关键词 重极限 二重直极限 代数族
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Double Integrable Couplings and Their Constructing Method 被引量:1
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作者 郭福奎 张玉峰 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第1期6-12,共7页
To extend the study scopes of integrable couplings, the notion of double integrable couplings is proposed in the paper. The zero curvature equation appearing in the constructing method built in the paper consists of t... To extend the study scopes of integrable couplings, the notion of double integrable couplings is proposed in the paper. The zero curvature equation appearing in the constructing method built in the paper consists of the elements of a new loop algebra which is obtained by using perturbation method. Therefore, the approach given in the paper has extensive applicable values, that is, it applies to investigate a lot of double integrable couplings of the known integrable hierarchies of evolution equations. As for explicit applications of the method proposed in the paper, the double integrable couplings of the AKNS hierarchy and the KN hierarchy are worked out, respectively. 展开更多
关键词 double integrable coupling Lie algebra loop algebra
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Two types of new Lie algebras and related Liouville integrable hierarchies
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作者 夏铁成 李季 《Journal of Shanghai University(English Edition)》 CAS 2008年第2期102-106,共5页
Based on the generalization of Lie algebra An- 1, two types of new Lie algebras were worked out and the integrability of the related hierarchies of evolution equations were proved in the sense of Liouville.
关键词 Lie algebra loop algebra Liouville integrable.
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Two Integrable Couplings of Modified Tu Hierarchy
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作者 岳超 刘照军 于加东 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第8期203-207,共5页
Two different integrable couplings of the modified Tu hierarchy are obtained under the zero curvatureequation by using two higher dimension Lie algebras.Furthermore,a complex Hamiltonian structures of the secondintegr... Two different integrable couplings of the modified Tu hierarchy are obtained under the zero curvatureequation by using two higher dimension Lie algebras.Furthermore,a complex Hamiltonian structures of the secondintegrable couplings is presented by taking use of the variational identity. 展开更多
关键词 Lie algebra Hamiltonian structure variational identity
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The Research of Value of Female Costume in Ethnic Group Construction Based on the Social Gender
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作者 TAO Hui CHEN Dong-sheng 《Journal of Literature and Art Studies》 2013年第1期20-24,共5页
The social gender theory is a historical analysis method which is benificial to explore the system of human organization activities around "male"or "female" activities. Historically, the process of human socializa... The social gender theory is a historical analysis method which is benificial to explore the system of human organization activities around "male"or "female" activities. Historically, the process of human socialization is also a process of social gender institutionalization. Therefore, the paper tried to analyze the connotation of ethnic women's costume from the social gender perspective to help people realize further the women's state in sexism society and value in ethnic group constructing and developing. Firstly, the paper sets forth the characteristic of "group" of ethnic people female costumes. The next, the paper explored the costume how to set up a system of ethic standard in inner group so as to maintain the social order. Subsequently, the paper points out, with the rapid evolution of society, more and more ethnic people men participate cities construction and outer social activities Consequently, most of minority men wear modem clothing instead of their traditional clothing, only women still insist in wearing the traditional clothing. Finally, according to research above, the authors consider that ethnic people female costumes emerge strong gender content which reflects more constraints rather than equality between men and women. Besides, it is certain that women have irreplaceable value in ethinc group construction and development. 展开更多
关键词 ethnic group female clothing social gender development
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The Deficiency and Embarrassment of Chinese Music History
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作者 Wang Huan Wang Ji 《International Journal of Technology Management》 2014年第2期128-129,共2页
Chinese music history is a rigorous discipline of analyzing, studying and describing Chinese music development and evolution process, which has typical historical factors. Chinese music covers a wide range, which incl... Chinese music history is a rigorous discipline of analyzing, studying and describing Chinese music development and evolution process, which has typical historical factors. Chinese music covers a wide range, which includes China traditional opera, minority drama, local and regional opera, and the song and dance drama and music with the sense of the times.However, in the music history research and teaching in our country currently, because the current art education of the old system and the traditional mechanical reasons, study on the history of music lacks of effective view in the breadth and depth.Because of these reasons, there is a lack of the object of study and research methods, so in the course of study on the China music history, it has some deficiency and embarrassing phenomenon.In this paper, it takes the analysis on deletion and embarrassing situations in our country at present on the history of music, and finds out the corresponding solutions for it. 展开更多
关键词 Chinese music history DEFICIENCY EMBARRASSMENT
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有限域上置换正交系的算法判别
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作者 陆佩忠 《科学通报》 EI CAS CSCD 北大核心 1998年第12期1263-1267,共5页
将有限域上置换正交组化成仿射代数之间的同态 ,然后利用Gr bner基理论给出置换正交组的算法判别 .
关键词 转换多项式 正交系 代数族 仿射代数
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小平变形理论及后来的发展
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作者 中村郁 陈治中 《数学译林》 2000年第2期115-120,共6页
关键词 小平变形理论 代数族 小平-Spencer变形理论 复流形
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Clemens-Schmid序列的推广
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作者 屠立煌 《数学学报(中文版)》 SCIE CSCD 北大核心 2004年第4期671-676,共6页
本文把Clemens-Schmid正合序列推广到单参数族的奇异纤维具有任意奇性的情况。
关键词 单参数代数 半稳约化 奇性分解
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SOME CONTRACTIONS OF THREEFOLD ALGEBRAIC FAMILY
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作者 CHEN MENG(Department of Matehematics,Shanghai Institute of Building Materials, Shanghai 200434, China) 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1994年第2期247-252,共6页
The objects in this paper are all projective 3-folds over an algebresically closed field of characteristic 0. After simply generalizing the Rationality theorem, a kind of contractions. of non-minimal 3-folds is given
关键词 Threefold algebraic family j Extremal ray Contraction.
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