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Linear Algebra over Division Ring: Vector Space
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ISBN10: 1499324006
ISBN13: 9781499324006
Publisher: Createspace
Published: Oct 27 2014
Pages: 108
Weight: 0.60
Height: 0.28 Width: 7.00 Depth: 10.00
Language: English
ISBN13: 9781499324006
Publisher: Createspace
Published: Oct 27 2014
Pages: 108
Weight: 0.60
Height: 0.28 Width: 7.00 Depth: 10.00
Language: English
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.
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