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Gauss' Lemma for function fields |
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| รหัสดีโอไอ | |
| Title | Gauss' Lemma for function fields |
| Creator | Borworn Khuhirun |
| Contributor | Ajchara Harnchoowong |
| Publisher | Chulalongkorn University |
| Publication Year | 2551 |
| Keyword | Functions, Integral equations |
| Abstract | Let L be a number field and OL the ring of algebraic integers in L. For apolynomial f with coefficients in OL, the content of f in L is the ideal of OLgenerated by coefficients of f. The polynomial f is primitive in L if the contentof f in L is OL. In 2005, Arturo Magidin and David McKinnon proved the Gauss’ lemma fornumber fields, the product of two primitive polynomials is also primitive, andsome applications following from Gauss’ lemma for number fields. A function field K over a finite field k is a finite separable field extension overk(x) where x is a transcendantal element. In this research, we study Magidin and McKinnon’s work on the function fields. |
| URL Website | cuir.car.chula.ac.th |
