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Start Over Descriptor "Algebraic closure" Topic algebraic fields Publisher de gruyter
1 results on '"Algebraic closure"'

1. Extending Nathanson Heights to Arbitrary Finite Fields.

Author

Huicochea, Mario

Subjects
*PROJECTIVE spaces, *FINITE fields, *ALGEBRAIC fields, *ALGEBRA, *GEOMETRIC congruences, *MATHEMATICS
Abstract

In this paper, we extend the definition of the Nathanson height from points in projective spaces over to points in projective spaces over arbitrary finite fields. If , then the Nathanson height is where with the field norm and the element of congruent to modulo p. We investigate the basic properties of this extended height, provide some bounds, study its image on the projective line and propose some questions for further research. [ABSTRACT FROM AUTHOR]

Published
2012
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