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New striking analogies between H. Hahn's fields of generalised series with real coefficients,
GH Hardy's field of germs of real valued functions, and JH Conway's field No of surreal …

A classical tool in the study of real closed fields are the fields $ K ((G)) $ of generalized
power series (ie, formal sums with well-ordered support) with coefficients in a field $ K $ of …

A classical tool in the study of real closed fields are the fields $ K ((G)) $ of generalised
power series (ie, formal sums with well-ordered support) with coefficients in a field $ K $ of …

We prove that in every ring of generalised power series with non-positive real exponents
and coefficients in a field of characteristic zero, every series admits a factorisation into finitely …

In the paper, Malcev rings are defined. The class of Malcev rings strictly contains rings of
Malcev–Neumann series, formal skew Laurent series rings, and formal pseudo-differential …

В статье определяются мальцевские кольца. Класс всех мальцевских колец строго
содержит кольца рядов Мальцева–Неймана, кольца косых формальных рядов Лорана …

Fields of generalised power series (or Hahn fields), with coefficients in a field and exponents
in a divisible ordered abelian group, are a fundamental tool in the study of valued and …