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portada On Rayner Rngs of Formal Power Series
Type
Physical Book
Author
Publisher
Language
English
Pages
344
Format
Paperback
Dimensions
22.9 x 15.2 x 2.0 cm
Weight
0.50 kg.
ISBN13
9786206150350
Categories

On Rayner Rngs of Formal Power Series

Geovani Pereira Machado (Author) · LAP Lambert Academic Publishing · Paperback

On Rayner Rngs of Formal Power Series - Pereira Machado, Geovani

New Book Imported to South Africa
Delivery: 26 Aug - 04 Sep Shipping: 13 to 14 business days.
R 1,842
R 1,842

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Synopsis "On Rayner Rngs of Formal Power Series"

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.

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