Paperback. Pub Date :2013-10-01 Pages: 323 Language: English Publisher: World Publishing Company The present Vrolume completes the series of texts on algebra which the author began more than ten years ago. The account of field theory and Galois theory which we girre here is based on the notions and results of general algebra which appear in our first volume and on the more elementary parts of the second volume. dealing with linear algebra. The level of the present work. is roughly the same as that of Volume II. Contents: INTRODUCTIONS ECTION1. Extension of homomorphisms 2. Algebras3. Tensor products of vector spaces4. Tensor product of algebrasCHAPTER I: FINITE DIMENSIONAL EXTENSION FIELDS1 Some vector spaces associated with mappings of fields2. The Jacobson-Bourbaki correspondence3. Dedekind independence theorem for isomorphisms of a field4. Finite groups of automorphisms. ...
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