Introduction into Noncommutative Algebra, Volume 1

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.

English text - 369 pages; Russian text - 387 pages. arXiv admin note: text overlap with arXiv:1908.04418, arXiv:2204.06320