论文标题

简介非交通式代数,第1卷

Introduction into Noncommutative Algebra, Volume 1

论文作者

Kleyn, Aleks

论文摘要

我将专着$ 1 $专着的“非共同代数介绍”的卷专门用于对代数的循环研究。我在本卷中介绍的主要主题是:模块和代数的定义在交换环上;代数的线性图在交换环上;协会分区代数的矢量空间;关联分区代数的线性方程系统;关联分区代数和协方差理论的矢量空间的同态同态;协会分区代数的特征值和特征向量。

I dedicated the volume $1$ of monograph 'Introduction into Noncommutative Algebra' to studying of algebra over commutative ring. The main topics that I covered in this volume: definition of module and algebra over commutative ring; linear map of algebra over commutative ring; vector space over associative division algebra; system of linear equations over associative division algebra; homomorphism of vector space over associative division algebra and covariance theory; eigenvalue and eigenvector over associative division algebra.

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