Dinh Van Huynh, Sergio R. López-Permouth, editors.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York :
Name of Publisher, Distributor, etc.
Birkhäuser,
Date of Publication, Distribution, etc.
2010.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (vi, 345 pages) :
Other Physical Details
portraits
SERIES
Series Title
Trends in Mathematics
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references.
CONTENTS NOTE
Text of Note
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
SUMMARY OR ABSTRACT
Text of Note
This volume consists of refereed research and expository articles by both plenary and other speakers at the International Conference on Algebra and Applications held at Ohio University in June 2008, to honor S.K. Jain on his 70th birthday. The articles are on a wide variety of areas in classical ring theory and module theory, such as rings satisfying polynomial identities, rings of quotients, group rings, homological algebra, injectivity and its generalizations, etc. Included are also applications of ring theory to problems in coding theory and in linear algebra.