Introduction into Noncommutative Algebra, Volume 1

Aleks Kleyn

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arXiv · 2207.06506

Introduction into Noncommutative Algebra, Volume 1

Aleks Kleyn

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Abstract

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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Aleks Kleyn. 2022-07-13. Introduction into Noncommutative Algebra, Volume 1. https://arxiv.org/abs/2207.06506

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