Introduction into Noncommutative Algebra, Volume 1
General Mathematics
2024-05-24 v3
Abstract
I dedicated the volume 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.
Cite
@article{arxiv.2207.06506,
title = {Introduction into Noncommutative Algebra, Volume 1},
author = {Aleks Kleyn},
journal= {arXiv preprint arXiv:2207.06506},
year = {2024}
}
Comments
English text - 369 pages; Russian text - 387 pages. arXiv admin note: text overlap with arXiv:1908.04418, arXiv:2204.06320