عنوان

Advances in ring theory /

3034602863

9783034602860

3034602855

9783034602853

b736760

Advances in ring theory /

[Book]

Dinh Van Huynh, Sergio R. López-Permouth, editors.

New York :

Birkhäuser,

2010.

1 online resource (vi, 345 pages) :

portraits

Trends in Mathematics

Includes bibliographical references.

Cover13; -- Table of Contents13; -- Preface -- Applications of Cogalois Theory to Elementary Field Arithmetic -- 1. Introduction -- 2. Notation and terminology -- 3. What is Cogalois theory? -- 4. Basic concepts and results of Cogalois theory -- G-Radical extensions -- G-Kneser extensions -- The Kneser criterion -- Cogalois extensions -- Galois and Cogalois connections -- Strongly G-Kneser extensions -- G-Cogalois extensions -- 5. Examples of G-Cogalois extensions -- 6. Applications to elementary field arithmetic -- 6.1. Effective degree computation: -- 6.2. Exhibiting extension basis: -- 6.3. Finding all intermediate fields: -- 6.4. Primitive element: -- 6.5. When is a sum of radicals of positive rational numbers a rational number? -- 6.6. When can a positive algebraic number 945; be written as a finite sum of real numbers of type 177; n8730;i ai, 1

0