Abstract
Let F be a formally real field and let Fpy be the Pythagorean closure of F. We discuss totally positive field extensions and prove that a totally positive field extension need not be totally real. For a central simple algebra A over a field F, pind(A) denotes the index of A over Fpy. We also prove a special case of the Becher’s conjecture.
| Original language | English |
|---|---|
| Pages (from-to) | 183-185 |
| Number of pages | 3 |
| Journal | International Journal of Mathematics and Computer Science |
| Volume | 20 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2025 |
All Science Journal Classification (ASJC) codes
- Computer Science (miscellaneous)
- Algebra and Number Theory
- Statistics and Probability
- Numerical Analysis
- Modelling and Simulation
- Discrete Mathematics and Combinatorics
- Computational Mathematics
- Applied Mathematics
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