Doubts in the definitions of the category of complex algebraic varieties and of regular functions
14285
What is an algebraic variety?
93111
Finiteness of the Algebraic Closure
78561
Algebraic field extensions: Why $k(\alpha)=k[\alpha]$.
68786
"This property is local on" : properties of morphisms of $S$-schemes
111814
Precise connection between complexification of $\mathfrak{su}(2)$, $\mathfrak{so}(1,3)$ and $\mathfrak{sl}(2, \mathbb{C})$
79450
For field extensions $F\subsetneq K \subset F(x)$, $x$ is algebraic over $K$
41069
Justifying $\,\Bbb{Z}[i]/\langle 2\rangle\cong \Bbb{Z}[X]/\langle X^2+1,2\rangle\cong \Bbb{F}_2[X]/\langle X^2+1\rangle$
64502
On the meaning of being algebraically closed
80295
Field extensions and algebraic/transcendental elements
20612
Is fibre product of varieties irreducible (integral)?
147794
Applications of Category Theory Outside of Mathematics (the discipline)
115347
Showing that the fiber of a morphism of schemes over a point is homeomorphic to the preimage
148685
Equivalences of definitions of submanifolds in $\mathbb{R^n}$
115502
Analogue of the Cantor-Bernstein-Schroeder theorem for general algebraic structures
86717
Completeness of $\langle \mathscr{C} [0, 1], \| \cdot \|_1 \rangle$
42189
Ring of rational-coefficient power series defining entire functions
53432
What is the algebraic closure of $\mathbb F_q$?