query: How to show this is subfield for the given field.
positive_passages.docid: 19202
positive_passages.text: $\mathbb{F}_{p^d}\subseteq\mathbb{F}_{p^n}$ if and only if $d$ divides $n$
negative_passages.docid: 74663
negative_passages.text: Is $\mathbb{R}$ an algebraic extension of some proper subfield?
negative_passages.docid: 145140
negative_passages.text: Subfield of $\mathbb{Q}(\sqrt[n]{a})$
negative_passages.docid: 7899
negative_passages.text: Show that if $p$ is prime then $\Bbb Z_p$ is a field
negative_passages.docid: 9520
negative_passages.text: Subfields of $\Bbb Q(\zeta_8)$
negative_passages.docid: 157074
negative_passages.text: The elements in the composite field $FK$
negative_passages.docid: 745
negative_passages.text: $F(x)$ versus $F[x]$ where $F$ is a field
negative_passages.docid: 16384
negative_passages.text: Proving a result in a given field
negative_passages.docid: 44032
negative_passages.text: Using calculated field to retrieve substring of another field
negative_passages.docid: 89664
negative_passages.text: How to know when a field is a paragraph
negative_passages.docid: 16163
negative_passages.text: Show $\mathbb{Q}(\sqrt{2},\sqrt{3})$ is a simple extension field of $\mathbb{Q}$.
negative_passages.docid: 114337
negative_passages.text: How to check that SObject field is present in SOQL query
negative_passages.docid: 10111
negative_passages.text: Prove or disprove that Q[√2] is a field
negative_passages.docid: 58280
negative_passages.text: "is a field and used like a type" error
negative_passages.docid: 98577
negative_passages.text: Show that the set $\mathbb{Q}(\sqrt{p})=\{a+b\sqrt{p}; a,b,p\in\mathbb{Q},\sqrt{p}\notin \mathbb{Q}\}$ is a field
negative_passages.docid: 156038
negative_passages.text: Why does Lang describe a field as a union and compositum of its subfields in this manner?
negative_passages.docid: 122415
negative_passages.text: How to show every field is a Euclidean Domain.