Titlebook: Abstract Algebra; Suitable for Self-St Marco Hien Textbook 2024 The Editor(s) (if applicable) and The Author(s), under exclusive license to

FAWN

粗糙滥制

Kernenergie und Kernkraftwerke,We start to examine abstract algebraic structures, first focusing on groups. Their definition is very simple, but this also makes them very flexible and generally difficult to classify. In this chapter, we will learn about their basics , in later chapters we will delve into deeper properties.

顶点

ADJ

dura-mater

tackle

Einheiten des Strahlenschutzes,We start to develop Galois theory. In this chapter, we will learn about the concept of the splitting field of a polynomial. In addition, we prove two theorems about the existence of field homomorphisms or their extensions. We call these theorems . and . They will be the core of Galois theory.

易受骗

Kernenergie und Kernkraftwerke,We have seen in previous chapters that - given an algebraic field extension .|. and an algebraic closure . of . - the set . plays an important role. We now define . field extensions .|. which guarantee that . holds and this is very nice since the right hand side form as group.

colostrum

Klausur zum Grundkurs Strahlenschutz,In Chap. . we saw that it is important to investigate whether an irreducible polynomial has multiple roots in an algebraic closure. This chapter clarifies this question.

microscopic

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