DF (55) 55 54 94 02 • Cuernavaca (777) 102 83 86
Síguenos en:
 |  |  |
(55) 55 54 94 02
Libros relacionados
|
Título: Introduction To Model Theory (Algebra, Logic And Applications Volume 15) | |
| Autor: Rothmaler, Philipp | Precio: $650.00 | |
| Editorial: Taylor & Francis | Año: 2000 | |
| Tema: Teorias, Modelos Matematicos, Algebra | Edición: 1ª | |
| Sinopsis | ISBN: 9789056993139 | |
| Model theory investigates mathematical structures by means of formal languages. These so-called first-order languages have proved particularly useful. The text introduces the reader to the model theory of first-order logic, avoiding syntactical issues that are not too relevant to model-theory. In this spirit, the compactness theorem is proved via the algebraically useful ultraproduct technique, rather than via the completeness theorem of first-order logic. This leads fairly quickly to algebraic applications, like Malcev's local theorems (of group theory) and, after a little more preparation, also to Hilbert's Nullstellensatz (of field theory). Steinitz' dimension theory for field extensions is obtained as a special case of a much more general model-theoretic treatment of strongly minimal sets.
The final chapter is on the models of the first-order theory of the integers as an abelian group. This material appears here for the first time in a textbook of introductory level, and is used to give hints |
||
Disponibilidad: Bajo pedido
ó
ó
Librería Bonilla SA de CV © Todos los derechos reservados. 2019
Última actualización: Jul 2019