Introduction into Noncommutative Algebra, Volume 1

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.