BACLE 发表于 2025-3-26 20:59:29

Galois Theory of Equations, fields is interesting also beyond the theory of equations and we shall undertake a detailed study of such fields in the next chapter. In the present one we confine ourselves to the minimum which is needed for the theory of equations.

OTTER 发表于 2025-3-27 03:04:03

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BRIDE 发表于 2025-3-27 07:28:35

Structure Theory of Fields,xistence of a transcendency basis such that the extension is separable algebraic over the purely transcendental extension determined by the basis. We shall also give a definition of separability of an extension field that generalizes the notion of algebraic separability. The notion of a derivation p

火海 发表于 2025-3-27 10:44:11

Valuation Theory,ions. Valuation theory forms a solid link between algebra and analysis. On the one hand, it permits a precise study of algebraic functions and, on the other hand, it leads to the introduction of analytic notions (convergence, integration) in the study of arithmetic questions.

gerontocracy 发表于 2025-3-27 17:28:36

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CHASE 发表于 2025-3-27 19:46:25

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祖传 发表于 2025-3-27 22:04:43

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mercenary 发表于 2025-3-28 05:29:59

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NADIR 发表于 2025-3-28 09:00:45

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LINE 发表于 2025-3-28 14:28:53

Lectures in Abstract Algebra978-1-4612-9872-4Series ISSN 0072-5285 Series E-ISSN 2197-5612
页: 1 2 3 [4] 5
查看完整版本: Titlebook: Lectures in Abstract Algebra; III. Theory of Field Nathan Jacobson Textbook 1964 Springer Science+Business Media, LLC 1964 Abstract algebra