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Titlebook: Basic Structures of Modern Algebra; Yuri Bahturin Book 1993 Springer Science+Business Media Dordrecht 1993 Homological algebra.Vector spac

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Introduction,The purpose of this introduction is to explain in a condensed form the main definitions and results in group, ring and field theory that are usually presented in elementary standard courses of a study in physics or mathematics.
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Algebraic Groups,Let . be a non—empty set, . a field. We denote by . the algebra of functions on . with values in . The (pointwise) operations of addition, multiplication of functions, and multiplication by scalars from . are:
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Homological Algebra,at, moreover, Ker ... ⊃ Im .. for any n. A special case is an . complex, i.e. a sequence (1) such that Ker ... = Im .. for any .. . complexes can also be regarded. A . is an exact sequence of the form
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