Articles liés à Linear Algebra over Division Ring: System of Linear...

Linear Algebra over Division Ring: System of Linear Equations - Couverture souple

Kleyn, Aleks

 
9781477631812: Linear Algebra over Division Ring: System of Linear Equations
Couverture souple
ISBN 10 : 147763181X ISBN 13 : 9781477631812
Editeur : CreateSpace Independent Publishing Platform, 2012

Synopsis

In this book I treat linear algebra over division ring.A system of linear equations over a division ring has properties similar to properties of a system of linear equations over a field. However, noncommutativity of a product creates a new picture.Matrices allow two products linked by transpose.Biring is algebra which defines on the set two correlated structures of the ring.As in the commutative case, solutions of a system of linear equations build up right or left vector space depending on type of system. We study vector spaces together with the system of linear equations because their properties have a close relationship. As in a commutative case, the group of automorphisms of a vector space has a single transitive representation on a frame manifold. This gives us an opportunity to introduce passive and active representations.Studying a vector space over a division ring uncovers new details in the relationship between passive and active transformations, makes this picture clearer.

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Éditeur
CreateSpace Independent Publishing Platform
Date d'édition
2012
Langue
anglais
ISBN 10 
147763181X
ISBN 13 
9781477631812
Reliure
Broché
Nombre de pages
60
Coordonnées du fabricant
Manufactured by Amazon on behalf of the author
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