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Linear Algebra over Division Ring: Vector Space

Linear Algebra over Division Ring: Vector Space

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Product Details
Author:
Aleks Kleyn
Publisher:
Createspace Independent Publishing Platform
Publication Date:
Oct 27, 2014
Number of pages:
108 pages
Binding:
Paperback or Softback
ISBN-10:
1499324006
ISBN-13:
9781499324006

Overview

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.


  • | Author: Aleks Kleyn
  • | Publisher: Createspace Independent Publishing Platform
  • | Publication Date: Oct 27, 2014
  • | Number of Pages: 108 pages
  • | Binding: Paperback or Softback
  • | ISBN-10: 1499324006
  • | ISBN-13: 9781499324006

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