Give an example of a finite extension of fields that is neither separable nor normal.
67157
Example of an non-normal inseparable field extension
6646
A (non-artificial) example of a ring without maximal ideals
48093
Irreducible polynomial in field extension
97904
Example of infinite field of characteristic $p\neq 0$
129227
An example of neither open nor closed set
127166
Specific example of a space that is separable but not second countable.
28313
Intermediate ring between a field and an algebraic extension.
81927
Example of closed and bounded in $\mathbb Q$ set that is not compact
126127
A field extension of prime degree
16984
Finite extension of domains : preimage of non-zero ideal is non-zero?
140553
An ideal which is not finitely generated
158924
Example of composition of two normal field extensions which is not normal.
153444
$\mathbb{Q}(\sqrt[3]{2})$ is not in any cyclotomic extension of $\mathbb{Q}$
146446
Infinite Degree Algebraic Field Extensions
64261
example of not surjective isometry on a bounded not closed set.
78350
When does a finite ring become a finite field?
116955
Showing the existence of a certain kind of extension of a finitely generated algebra