DefinePK hosts the largest index of Pakistani journals, research articles, news headlines, and videos. It also offers chapter-level book search.
Title: On some subfields of \(K((X))\)
Authors: Shaheen Nazir, Angel Popescu
Journal: Journal of Prime Research in Mathematics
Publisher: Abdus Salam School of Mathematical Sciences, GC University
Country: Pakistan
Year: 2006
Volume: 1
Issue: 1
Language: English
Let K be a commutative field and let \(K((X))\) be the field of Laurent series in one variable \(X\), consider with its natural \(X-\)adic topology. In this paper we prove that any closed subfield \(K ⊂ L ⊂ K((X))\) is of the form \(L = K((f))\) and \(K((X))\) is algebraic over L of degree \(ord_{X}(f)\). Some other properties of \(L\) are studied.
Loading PDF...
Loading Statistics...