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On vector spaces over specific fields without choice |
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| Authors: | Paul Howard Eleftherios Tachtsis |
| Affiliation: | 1. Department of Mathematics, Eastern Michigan University, Ypsilanti MI 48197, United States of America;2. Department of Statistics and Actuarial‐Financial Mathematics, University of the Aegean, Karlovassi, Samos 83200, Greece |
| Abstract: | We investigate the deductive strength of statements concerning vector spaces over specific fields in the hierarchy of various choice principles. |
| Keywords: | Choice principles Boolean Prime Ideal Theorem vector spaces independent sets generating sets bases non‐zero linear functionals infinite systems of linear equations Fraenkel‐Mostowski permutation models MSC (2010) Primary 03E25 Secondary 03E35 15A03 |