field extension meaning in Hindi

Examples

1. He illustrated the principle with applications in ring theory and field extensions.
2. Let L / K be a finite field extension of global fields.
3. The field extension generated by } }, however, is of degree 3.
4. It suffices to show that "'C "'has no proper finite field extension.
5. In particular, this applies to finite field extensions of " K ".
6. Any finite field extension of a finite field is separable and simple.
7. Classically one is mainly interested in solutions in difference field extensions of K.
8. A Galois extension is a field extension that is both normal and separable.
9. These field extensions are also known as algebraic function fields over " K ".
10. Minimal polynomials are useful for constructing and analyzing field extensions.