algebraically in a sentence

Examples

1. Over non-algebraically closed fields, not all Cartan subalgebras are conjugate.
2. In one space dimension, anyons are defined algebraically.
3. I would not try to solve this algebraically, but use numerical methods.
4. They are algebraically stable and thus B-stable.
5. The full theorem generalizes to any algebraic variety over an algebraically closed field.
6. :I've figured out the connection algebraically.
7. Every field " F " has some extension which is algebraically closed.
8. Jordan simple superalgebras over an algebraically closed field of characteristic 0 were classified by.
9. Analytic spaces over algebraically closed fields are coherent.
10. Now consider the class of algebraically closed fields.