List questions from field-theory

Published on 19 Mar 2026 - 23:44

209

Views

Number of roots of a particular polynomial in $F_{121}$

Published on 25 Mar 2026 - 1:28

189

Views

Category theory and real closed fields

Published on 23 Mar 2026 - 14:12

248

Views

Is $\mathbb Q$ definable in $\bar {\mathbb Q}$ ?

Published on 25 Mar 2026 - 1:33

35

Views

find an example which is not obtained by attaching a square root of an element of F?

Published on 26 Feb 2018 - 16:04

51

Views

Computation of $\frac{1+t}{1+t+t^2}$ for $x^3-2x-2$ in $\mathbb{Q}(t)$.

Published on 25 Mar 2026 - 1:38

908

Views

Can we axiomatize a field starting with the binary operations and only “equational” axioms?

Published on 22 Mar 2026 - 20:11

282

Views

Suppose R and S are commutative rings with unity. Let $\varphi : R \rightarrow S$ be a ring isomorphism. Prove that R is a field iff S is a field.

Published on 28 Feb 2018 - 16:30

260

Views

Is Pic a functor?

Published on 25 Mar 2026 - 16:20

285

Views

Is every algebraically closed subfield of $\mathbb C[[X]]$ contained in $\mathbb C$?

Published on 25 Mar 2026 - 18:38

93

Views

Existence of a particular arithmetic function.

Published on 25 Mar 2026 - 12:52

151

Views

Undergraduate algebra problem of field theory

Published on 26 Mar 2026 - 17:32

1.8k

Views

Algebraic closure of the $p$-adic integers

Published on 25 Mar 2026 - 6:10

132

Views

Image of an element under a Galois group

Published on 26 Mar 2026 - 17:35

629

Views

In the ring of integers of $\mathbb Q[\sqrt d]$, if every non-zero ideal $A$ is a lattice, then is every ideal generated by at most two elements?

Published on 25 Mar 2026 - 15:12

List Question

Extension of isomorphism of fields

Number of roots of a particular polynomial in $F_{121}$

Category theory and real closed fields

Is $\mathbb Q$ definable in $\bar {\mathbb Q}$ ?

find an example which is not obtained by attaching a square root of an element of F?

Computation of $\frac{1+t}{1+t+t^2}$ for $x^3-2x-2$ in $\mathbb{Q}(t)$.

Can we axiomatize a field starting with the binary operations and only “equational” axioms?

Suppose R and S are commutative rings with unity. Let $\varphi : R \rightarrow S$ be a ring isomorphism. Prove that R is a field iff S is a field.

Is Pic a functor?

Is every algebraically closed subfield of $\mathbb C[[X]]$ contained in $\mathbb C$?

Existence of a particular arithmetic function.

Undergraduate algebra problem of field theory

Algebraic closure of the $p$-adic integers

Image of an element under a Galois group

In the ring of integers of $\mathbb Q[\sqrt d]$, if every non-zero ideal $A$ is a lattice, then is every ideal generated by at most two elements?

Trending Questions

Popular # Hahtags

Popular Questions