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Titlebook: Basic Algebra; Anthony W. Knapp Textbook 2006 Birkhäuser Boston 2006 Group theory.Matrix.Multilinear Algebra.Vector space.algebra.linear a

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Nietzsche’s Existential Imperativeof unique factorization..Section 1 gives many examples of rings, some commutative and some noncommutative, and introduces the notion of a module for a ring..Sections 2–4 discuss some of the tools related to questions of factorization in integral domains. Section 2 defines the field of fractions for
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https://doi.org/10.1007/BFb0057505strates by example the power and usefulness of the theory of Galois groups. Prerequisite material from Chapter VIII consists of Sections 1–6 for Sections 1–13 of the present chapter, and it consists of all of Chapter VIII for Sections 14–17 of the present chapter..Sections 1–2 introduce field extens
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K. Binder,D. W. Heermann,A. Milchev,A. Sadiq and the second set concerns the Hom and tensor product functors..Sections 1–3 concern finiteness conditions on modules. Section 1 deals with simple and semisimple modules. A simple module over a ring is a nonzero unital module with no proper nonzero submodules, and a semisimple module is a module g
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