Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6414081 | Expositiones Mathematicae | 2013 | 18 Pages |
Abstract
We explain the construction of fields of formal infinite series in several variables, generalizing the classical notion of formal Laurent series in one variable. Our discussion addresses the field operations for these series (addition, multiplication, and division), the composition, and includes an implicit function theorem.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ainhoa Aparicio Monforte, Manuel Kauers,