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http://hdl.handle.net/10553/73917
Title: | On fields having the extension property | Authors: | Fernández Rodríguez, Fernando Llerena Achutegui, Agustín |
UNESCO Clasification: | 1201 Algebra | Issue Date: | 1992 | Journal: | Journal of Pure and Applied Algebra | Abstract: | Let T be an intermediate over the field K. We say that K has the Extension Property if every automorphism of K(T) extends an automorphism of K. Fields with this property play a crucial role in the study of homogeneity conditions in spaces of orderings of function fields. In this paper we introduce a new extension property (Generalized Extension Property) and we show it has a better algebraic behaviour. We also rescue most known results about fields with the extension property and determine a new class of fields verifying the generalized extension property. | URI: | http://hdl.handle.net/10553/73917 | ISSN: | 0022-4049 | DOI: | 10.1016/0022-4049(92)90084-S | Source: | Journal of Pure and Applied Algebra [ISSN 0022-4049], v. 77 (2), p. 183-187, (Febrero 1992) |
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