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Titlebook: Algebra; Thomas W. Hungerford Textbook 1974 Springer-Verlag New York, Inc. 1974 Adjoint functor.Coproduct.Galois theory.algebra.field.fini

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The Structure of Fields,dence base, whose cardinality (called the transcendence degree) turns out to be an invariant of the extension of . by . (Section 1). The notion of separability is extended to (possibly) nonalgebraic extensions in Section 2 and separable extensions are characterized in several ways.
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Linear Algebra,hism (relative to different bases) leads to the concepts of equivalence and similarity of matrices (Sections 2 and 4). Certain important invariants of matrices under similarity are considered in Section 5. Determinants of matrices (Section 3) are quite useful at several points in the discussion.
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Textbook 1974s clarity rather than brevity and contains an unusually large number of illustrative exercises. The book covers major areas of modern algebra, which is a necessity for most mathematics students in sufficient breadth and depth.
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https://doi.org/10.1007/978-981-99-0475-4obtain really strong structure theorems. These ideas are discussed in full detail in the introductions to Sections 1 and 2 below. The reader would do well to read both these discussions before beginning serious study of the chapter.
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The Structure of Rings,obtain really strong structure theorems. These ideas are discussed in full detail in the introductions to Sections 1 and 2 below. The reader would do well to read both these discussions before beginning serious study of the chapter.
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Maiada M. El-Dawayati,Zeinab E. Zayed and its equivalents (Section 7) and cardinal arithmetic (last part of Section 8) may be postponed until this information is actually used. Finally the reader is presumed to have some familiarity with the fields ., ., and . of rational, real, and complex numbers respectively.
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