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代数数论中若干定理的简化证明
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作者 杨军 《西南民族学院学报(自然科学版)》 CAS 2002年第2期156-158,共3页
范和迹是代数数域扩张中度量其元素的两把基本“尺子”.范和迹的传递公式是处理“域塔”的两个常用工具,但并非一定得用.有时采用别的途径可能更为简洁.通常利用范的传递公式建立P^n次单位根的分圆域的判别式;利用理想的范证明整理... 范和迹是代数数域扩张中度量其元素的两把基本“尺子”.范和迹的传递公式是处理“域塔”的两个常用工具,但并非一定得用.有时采用别的途径可能更为简洁.通常利用范的传递公式建立P^n次单位根的分圆域的判别式;利用理想的范证明整理想的加群结构定理.下面不用范的传递公式而直接建立关于分圆域的判别式;不取范而直接给出关于整理想加群结构定理的证明,从而简化了代数数论中这两个重要定理的证明. 展开更多
关键词 代数数论 简化证明 判别式 分圆域 整理想 代数数域扩张
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关于欧拉函数的推广
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作者 周敏娜 《绍兴文理学院学报(哲学社会科学版)》 1997年第6期49-51,共3页
主要把欧拉函数推广到全矩阵环M(Ok,n)上,其中Ok为代数数域K的整数环。给出了推广的欧拉函数的表达式,并推广了欧拉定理。
关键词 整理想 欧拉函数
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交通教育在心中——记全国教育系统优秀教育工作者邵佳明
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作者 吴晓斌 《交通职业教育》 1997年第5期55-56,共2页
一选择自己倾慕的职业,学有所成,为之奋斗,应是人生的一大乐事。然而,在25年前,这绝非易事。有些人,便是因此而慨叹命运多舛而消沉了;而有的人,则坚信命运之神便是自已,以"是金子即使在泥泞中亦会闪光"的勇气和坚强毅力,正面... 一选择自己倾慕的职业,学有所成,为之奋斗,应是人生的一大乐事。然而,在25年前,这绝非易事。有些人,便是因此而慨叹命运多舛而消沉了;而有的人,则坚信命运之神便是自已,以"是金子即使在泥泞中亦会闪光"的勇气和坚强毅力,正面人生,及时调整理想定位,扬起新的理想之帆,谱写出新的理想诗篇。邵佳明便是这后者。1970年,正当毕业于现河海大学的邵佳明准备为自己所热爱的祖国水电事业大显身手,展现才华之时,却不料,一纸派遣单,将他送到了无论如何也想象不到的地方,成了一名与他理想中的职业毫不相干的乡村中学教师。面对这样的处境,他也曾苦恼过,曾有过多少个痛苦而漫长的不眠之夜,然而,当他走上讲台,看到一张张天真浪漫,渴求知识的乡村少年的纯朴的脸时,他那颗焦躁不安。 展开更多
关键词 交通教育 教育工作者 教育系统 中学教师 学校 教职工 培训市场 整理想 杭州市 职业
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Study on "China Dream" Educational Propaganda Integrating into Education of Ideological and Political Education
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作者 Tian XlA 《International English Education Research》 2014年第11期22-24,共3页
"China Dream", not only is the national dream, but also is the dream of all the Chinese people, and highly fits the educational purpose of university education, "China Dream" leads the university ideal faith educa... "China Dream", not only is the national dream, but also is the dream of all the Chinese people, and highly fits the educational purpose of university education, "China Dream" leads the university ideal faith education to a higher standard, and embodied in the "China Dream", and enriched the connotation of the socialist core value system, is the organic unity of national spirit and the spirit of the age; "China Dream" represents a blue view for the great rejuvenation of the Chinese nation, is the organic unity of ideal and great practice being together; Also, the ideological and political education had also established in the underdevelopment contemporary youth growing up; the value of coordination shaped college student's right of personal value and social value. "China Dream", was the sublimation of university ideological and political education, ever advancing with the time, the "China Dream" tightly integrated into the university ideological and political education, strives to cultivate the endeavor of having both ability and political integrity, and having the national feelings of dedication. Therefore, college ideological and political education work is to "China Dream" as the guider, actively promotes the educational model innovation. 展开更多
关键词 "China Dream" University Ideological and Political Education Propaganda.
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Augmentation Quotients for Complex Representation Rings of Generalized Quaternion Groups
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作者 Shan CHANG 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2016年第4期571-584,共14页
Abstract Denote by Qm the generalized quaternion group of order 4m. Let R(Qm) be its complex representation ring, and △(Qm) its augmentation ideal. In this paper, the author gives an explicit Z-basis for the △n... Abstract Denote by Qm the generalized quaternion group of order 4m. Let R(Qm) be its complex representation ring, and △(Qm) its augmentation ideal. In this paper, the author gives an explicit Z-basis for the △n(Qm) mid determines the isomorphism class of the n-th augmentation quotient for each positive integer n. 展开更多
关键词 Generalized quaternion groups Representation ring Augmentation quotients
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