Details

Autor(en) / Beteiligte

• Escofier, Jean-Pierre

Titel

Field Extensions

Ist Teil von

• Galois Theory, p.51-77

Ort / Verlag

New York, NY: Springer New York

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this chapter, we come to the basic notions of Galois theory. Abel and Galois defined the elements of a generated extension, but they did not envision these elements as forming a set. The concept of a field (and the word) did not appear until the work of Dedekind between 1857 and 1871. The abstract definition of a field was given about 20 years later by Weber and Moore. One hundred years ago, the language of linear algebra did not exist and results were formulated very differently from the way they are today, as can be seen, for example, in Weber’s book, listed in the bibliography.