Hyperalgebraic Primitive Elements for Relational Algebraic and Topological Algebraic Models
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.
M. Insall, "Hyperalgebraic Primitive Elements for Relational Algebraic and Topological Algebraic Models," Studia Logica, Springer Verlag, Jan 1996.
The definitive version is available at https://doi.org/10.1007/BF00370842
Mathematics and Statistics
Keywords and Phrases
Hyperalgebraic elements; Infinitesimal; Nonstandard methods; Topological field; Topological model
Article - Journal
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