Publisher's Synopsis
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.
