Hyperalgebraic Primitive Elements for Relational Algebraic and Topological Algebraic Models

Author

Matt Insall, Missouri University of Science and TechnologyFollow

Abstract

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.

Recommended Citation

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

Department(s)

Mathematics and Statistics

Keywords and Phrases

Hyperalgebraic elements; Infinitesimal; Nonstandard methods; Topological field; Topological model

International Standard Serial Number (ISSN)

0039-3215

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1996 Springer Verlag, All rights reserved.

Publication Date

01 Jan 1996