Titlebook: Introduction to the Galois Correspondence; Maureen H. Fenrick Book 19921st edition Birkh?user Boston 1992 Abelian group.Area.Volume.algebr

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書目名稱Introduction to the Galois Correspondence影響因子(影響力)




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TRUST

we may show that the set of constructible numbers is a subfield of the field R of real numbers containing the field Q of rational numbers. Such a subfield is called an intermediate field of Rover Q. We may thus gain insight into the constructibility problems by studying intermediate fields of Rover Q. In cha978-1-4684-0026-7

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,Preliminaries — Groups and Rings,tary theory of groups and rings, concentrating on examples that will be used in later chapters. Although some of the more straightforward proofs are left as exercises, the majority of the proofs in the first two sections are presented fully as we guide the student through the process of studying gro

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,Preliminaries — Groups and Rings,eft as exercises, the majority of the proofs in the first two sections are presented fully as we guide the student through the process of studying groups via their normal subgroups and quotient groups.

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LOPE

o the ancient Greeks. The techniques used to solve these problems, rather than the solutions themselves, are of primary importance. The ancient Greeks were concerned with constructibility problems. For example, they tried to determine if it was possible, using straightedge and compass alone, to perf

JEER

Field Extensions,The field . of rationals is a subfield of the field . of reals, which is, in turn, a subfield of the field . of complex numbers. We then write . ? . ? . and say that . is an intermediate field of the extension . over ..

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