一瞥 发表于 2025-3-25 07:05:04

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侵略主义 发表于 2025-3-25 10:35:54

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AGGER 发表于 2025-3-25 14:53:19

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牵索 发表于 2025-3-25 19:07:16

Irreducible Polynomials,Our next project is to find some criteria for irreducibility of polynomials; this is usually difficult, and it is unsolved in general.

Acupressure 发表于 2025-3-25 23:13:51

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Root494 发表于 2025-3-26 02:09:20

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SCORE 发表于 2025-3-26 05:44:16

The Galois Group,We now set up an analogy with symmetries of polygons in the plane even though some of the algebraic analogues have not yet been defined.

绑架 发表于 2025-3-26 10:38:59

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散开 发表于 2025-3-26 14:56:00

Independence of Characters,This section introduces the important notion of a fixed field, and characters are used to compute its degree over a base field.

Living-Will 发表于 2025-3-26 19:24:37

Galois Extensions,Our discussion of Galois groups began with a . of fields, namely, an extension . / . that is a splitting field of some polynomial .(.) ∈ .. We are now going to characterize those extension fields of . that are splitting fields of some polynomial in .[.].
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查看完整版本: Titlebook: Galois Theory; Joseph Rotman Textbook 1998Latest edition Springer Science+Business Media New York 1998 Galois group.Galois theory.Group th