Name: On Rayner Rngs of Formal Power Series (en Inglés)
Price: 115.82 USD
Availability: InStock
Author: Pereira Machado, Geovani
ISBN: 9786206150350

portada On Rayner Rngs of Formal Power Series (en Inglés)

On Rayner Rngs of Formal Power Series (en Inglés)

Formato

Libro Físico

Autor

Geovani Pereira Machado

Editorial

LAP Lambert Academic Publishing

Idioma

Inglés

N° páginas

344

Encuadernación

Tapa Blanda

Dimensiones

22.9 x 15.2 x 2.0 cm

Peso

0.50 kg.

ISBN13

9786206150350

Categorías

Matemáticas

On Rayner Rngs of Formal Power Series (en Inglés)

Geovani Pereira Machado (Autor) · LAP Lambert Academic Publishing · Tapa Blanda

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Reseña del libro "On Rayner Rngs of Formal Power Series (en Inglés)"

Rayner rngs are rngs (rings without unity) whose elements are formal power series whose coefficients lie in a rng and the exponents lie in an additive ordered group, such that the supports of these series belong to a predetermined ideal constrained by a set of axioms. The work presents an inspection of the interplay between the algebraic, topological and categorical properties of the Rayner rngs, the rngs of coefficients and the ordered groups of exponents, studying the Rayner rngs under varied theoretical perspectives and seeking universal relations between them. Two key topologies on these structures are systematically analysed, the so-called weak and strong topologies, and a version of the Intermediate Value Theorem is obtained for the weak topology. Special attention is given to rngs of Levi-Civita, Puiseux and Hahn series, which are prominent instances of Rayner rngs.