List questions from transcendence-degree

Published on 23 Feb 2026 - 4:41

171

Views

Transcendence degree of the fraction field of $k[G]$ for torsion-free abelian group $G$

Published on 23 Feb 2026 - 4:43

113

Views

Algebraicity of $R_1 \subseteq R_2$, where $R_1$ and $R_2$ have same finite Krull dimension

Published on 23 Feb 2026 - 4:42

669

Views

Let $\bar{\mathbb{Q}}$ be the algebraic closure of $\mathbb{Q}$. What is the cardinality of a transcendental extension $K\setminus \bar{\mathbb{Q}}$?

Published on 23 Feb 2026 - 4:43

145

Views

About transcendence degree of an affine $K$-domain

Published on 23 Feb 2026 - 4:41

65

Views

How does transcendence degree relate to the closure of an open set?

Published on 23 Feb 2026 - 4:40

83

Views

Proving that a variety has a lower dimension than its ambient space

Published on 23 Feb 2026 - 4:39

91

Views

$\operatorname{Trdeg}(\operatorname{Frac}(R/(a))) =\operatorname{Trdeg}(\operatorname{Frac}(R))-1$

Published on 23 Feb 2026 - 4:43

251

Views

Transcendence basis as subset of generators

Published on 23 Feb 2026 - 4:38

192

Views

Krull Dimension of Affine Curve / Transcendence Degree of Coordinate Ring

Published on 23 Feb 2026 - 4:41

495

Views

Proper subfields of $\mathbb{C}$ isomorphic to $\mathbb{C}$

Published on 23 Feb 2026 - 4:37

150

Views

If $tr. deg. F/K=r$ then $tr.deg. F(x_1,\ldots,x_n)/K(x_1,\ldots,x_n)=r$.

Published on 23 Feb 2026 - 4:43

55

Views

Question about the proof that a function field over a $T_i$ field is a $T_{i+1}$ field

Published on 23 Feb 2026 - 4:39

508

Views

Algebraic independence of elementary symmetric polynomials

Published on 23 Feb 2026 - 4:38

21

Views

Infinite transcendental basic

Published on 01 Apr 2026 - 1:54

List Question

Showing $[K(x):K(\frac{x^5}{1+x})]=5$?

Transcendence degree of the fraction field of $k[G]$ for torsion-free abelian group $G$

Algebraicity of $R_1 \subseteq R_2$, where $R_1$ and $R_2$ have same finite Krull dimension

Let $\bar{\mathbb{Q}}$ be the algebraic closure of $\mathbb{Q}$. What is the cardinality of a transcendental extension $K\setminus \bar{\mathbb{Q}}$?

About transcendence degree of an affine $K$-domain

How does transcendence degree relate to the closure of an open set?

Proving that a variety has a lower dimension than its ambient space

$\operatorname{Trdeg}(\operatorname{Frac}(R/(a))) =\operatorname{Trdeg}(\operatorname{Frac}(R))-1$

Transcendence basis as subset of generators

Krull Dimension of Affine Curve / Transcendence Degree of Coordinate Ring

Proper subfields of $\mathbb{C}$ isomorphic to $\mathbb{C}$

If $tr. deg. F/K=r$ then $tr.deg. F(x_1,\ldots,x_n)/K(x_1,\ldots,x_n)=r$.

Question about the proof that a function field over a $T_i$ field is a $T_{i+1}$ field

Algebraic independence of elementary symmetric polynomials

Infinite transcendental basic

Trending Questions

Popular # Hahtags

Popular Questions