Using nonstandard methods, we generalize the notion of an algebraic primitive element to that of an
hyperalgebraic primitive element, and show that under mild restrictions, such elements can be found
infinitesimally close to any given element of a topological field.
Key words nonstandard methods - topological field - hyperalgebraic elements - infinitesimal - topological model
Mathematics Subject Classification 12F05 - 12J99 - 12L15 - 03C20 - 03H05
Presented by Robert Goldblatt