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On some subfields of k(x).

Author(s)
Shaheen Nazir School of Mathematical Sciences, GC University, Lahore, 68-B, New Muslim Town, Lahore, Pakistan
Angel Popescu School of Mathematical Sciences, GC University, Lahore, 68-B, New Muslim Town, Lahore, Pakistan
Angel Popescu Technical University of Civil Engineering
Abstract
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 Ì L Ì 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.
Publication Details
Page(s) 194-197
DOI DOI not available
Published Journal: Journal of Prime Research in Mathematics, Volume: 2, Issue: 0, Year: 2006

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