一瞥 发表于 2025-3-25 07:05:04
http://reply.papertrans.cn/39/3805/380423/380423_21.png侵略主义 发表于 2025-3-25 10:35:54
http://reply.papertrans.cn/39/3805/380423/380423_22.pngAGGER 发表于 2025-3-25 14:53:19
http://reply.papertrans.cn/39/3805/380423/380423_23.png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
http://reply.papertrans.cn/39/3805/380423/380423_25.pngRoot494 发表于 2025-3-26 02:09:20
http://reply.papertrans.cn/39/3805/380423/380423_26.pngSCORE 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
http://reply.papertrans.cn/39/3805/380423/380423_28.png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 .[.].