Team teaching and cooperat ive groups in abstract algebra: nurturing a new generation of confident mathematics teachers. International Journal of Mathematical Education in Science and Technology, 2007, 38( 5) : 581- 597Grassl, R., & Mingus, T. T. Y. (2007). Team teaching and cooperative ...
Lemma \quad 陪集性质:令H是一个G的子群,ab属于G,则:\\1.a\in aH \\2.aH=H当仅a\in H \\3.aH=bH当仅a\in bH \\4.aH=bH 或aH\cap bH=\phi \\5.aH=bH当仅a^{-1}b\in H \\6.|aH|=|bH| \\7.aH=Ha当仅H=aHa^{-1} \\8.aH是一个子群当仅a\in H 陪集给出了全体群的一...
so a' \in K K is a normal subgroup. Done p61 Let H be a normal subgroup of a finite group G and let x \in G . IF \gcd(|x|,|G/H|) = 1 , show that x \in H . Answer: Assume x \not \in H, then (xH)^k = x^kH =H, |\langle xH \rangle| = k , so \langle...
Abstract algebra. An introduction to groups, rings and fields This book is appropriate for second to fourth year undergraduates. The first nine chapters (together with the applications in the Chapters 11 or 15) cover ... C Reis - World Scientific 被引量: 9发表: 2011年 Introduction to abstra...
海外直订Abstract Algebra: An Introduction to Groups, Rings and Fields 抽象代数:群、环和域导论 作者:Reis,Clive出版社:World Scientific Publishing Company出版时间:2011年05月 手机专享价 ¥ 当当价降价通知 ¥799.00 配送至 广东佛山市 至北京市东城区...
We consider a different classroom approach to teaching algebra for prospective high school teachers by breaking the class up into small groups, providing them with worksheets which organize the material into problem sets that can be solved by these groups. We report on the result of this approach...
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Keywords: hypercompositional algebra; magma; left/right almost-group; left/right almost-hypergroup; transposition axiom; Mathematica1. Introduction This paper is generally classified in the area of hypercompositional algebra. Hypercompositional algebra is the branch of abstract algebra which studies hyper...
Mathematics - Physics, Theory, Groups: In the 1910s the ideas of Lie and Killing were taken up by the French mathematician Élie-Joseph Cartan, who simplified their theory and rederived the classification of what came to be called the classical complex
Lectures in abstract algebra II. Linear Algebra Jacobson,Nathan - 世界图书出版公司 被引量: 1396发表: 1951年 On the de rham cohomology of algebraic varieties No Abstract available for this article. A Grothendieck - 《Publications Mathématiques De Linstitut Des Hautes Études Scientifiques》 被...