Linear Algebra Over Division Ring (Russian Edition): System Of Linear Equations

Description: Please refer to the section BELOW (and NOT ABOVE) this line for the product details - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Title:Linear Algebra Over Division Ring (Russian Edition): System Of Linear EquationsISBN13:9781502982476ISBN10:1502982471Author:Kleyn, Aleks (Author)Description:(This is a RePrint) - 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 Basis 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 Binding:Paperback, PaperbackPublisher:Createspace Independent Publishing PlatformPublication Date:2014-10-26Weight:0.3 lbsDimensions:0.18'' H x 10'' L x 7.01'' WNumber of Pages:68Language:Russian

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