Linear Algebra Over Division Ring

Download or read book Linear Algebra Over Division Ring written by Aleks Kleyn and published by CreateSpace. This book was released on 2014-10-27 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book I treat linear maps of vector space over division ring. The set of linear maps of left vector space over division ring D is right vector space over division ring D. The concept of twin representations follows from the joint consideration of vector space V and vector space of linear transformations of the vector space V. Considering of twin representations of division ring in Abelian group leads to the concept of D-vector space and their linear map. Based on polylinear map I considered definition of tensor product of rings and tensor product of D-vector spaces.