BCH-代数与广义结合BCI-代数的关系

利用BCH－代数的理想给出了BCH－代数的商代数的一种定义方法，同时证明了BCH－代数的商代数是一个广义结合BCI－代数。     

关于应用残数定理证明代数恒等式问题的探讨

函数在孤立奇点的残数,函数在无穷远点的残数.利用残数及残数定理可以证明高等代数中的一些恒等式,同时导出拉格朗日插值公式.     

Explanations of attitudes to change: Colombian mathematics teachers’ conceptions of the crucial determinants of their teaching practices of beginning algebra

This article arises from a study whose overall purpose was to investigate the relationship between Colombian mathematics teachers’ conceptions of beginning algebra and their conceptions of their own teaching practices. The teachers’ understandings of their teaching practices were explored with a view to unravelling their conceptions of change in their teaching. Focusing on the perspectives of teachers afforded opportunities that exposed the powerful role that the teachers’ conceptions of social/institutional factors of teaching played in their conceptions of their practices. The degree to which the teachers attributed these (external) factors as crucial reasons for what they do in their teaching was the basis of a categorisation of their conceptions of the crucial determinants of their teaching practices into three types. The findings are particularly relevant to our understanding of the stability of mathematics teaching approaches in the Colombian context but have likely implications for a range of international education contexts. Specific implications for the development of the research into teachers’ conceptions of mathematics and its teaching, and for teacher education programmes are presented.

φ-自由n-李代数的分解

给出φ-自由n-李代数的2个分解定理,得到φ-自由n-李代数的分解式,并说明了此结果对一般的n-李代数并不成立.     

Laurent多项式环的导子李代数的一个直和的模的导子

记DerA为Laurent多项式环A的导子李代数,本文讨论直和A＋DerA到其Larsson模F^n（Vλ,b））的导子。     

浅谈在卡诺图中实现对偶律的方法

应用卡诺图来处理逻辑函数可以方便快速地使函数化简或变形。本文基于逻辑代数中的对偶律和卡诺图的化简方法,提出了在卡诺图中实现对偶律的方法:定义法,公式法,反码法。不同方法简单程度不同,反码法最为简便。     

关于四种弱BCI-代数及其可分配性

引入比BCI-代数条件更弱的四种弱BCI-代数,讨论它们的等价条件,并给出弱BCI-代数的一种二元运算“＋”：x＊y=x＋（x＊y）,讨论了与这种运算相关的可分配性,进而四种弱BCI-代数在可分配下得到统一．     

浅谈周期函数的概念

针对中学、中专、大学以及前苏联教科书上对周期函数概念的不同定义而进行了分析比较,并给出了10点说明来加以理解周期函数的概念。     

矩阵 Jordan 标准型的代数性质归纳

矩阵的标准型理论是矩阵论中重要的一个方面,本文归纳总结了 Jordan 标准型代数领域的相关定理,以帮助读者更好的学习。     

基于二进制代数学的关灯游戏模型

利用二进制代数学给出了一个关灯游戏的数学模型,对基于有限域上的线性方程组的9阶情形给出了所有解,并进一步运用代数学中的陪集分类方法给出了游戏的等价类,便于游戏者判断和解决游戏问题。