Linear Algebra Over Division Ring (Russian Edition): Vector Space

ISBN-13: 9781499323948 / Rosyjski / Miękka / 2014 / 116 str.

Aleks Kleyn

Opis

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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