Linear Algebra over Division Ring: Vector Space

By Aleks Kleyn

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.

• Format: Paperback
• Language: English
• ISBN: 1499324006
• ISBN13: 9781499324006
• Release Date: October 2014
• Publisher: Createspace Independent Publishing Platform
• Length: 108 Pages
• Weight: 0.60 lbs.
• Dimensions: 0.3" x 7.0" x 10.0"