Understanding $V=K\otimes_{\mathbb{F}_p}\mathbb{F}_{p^n}$ where $K$ is the algebraic closure of $\mathbb{F}_p$
113671
Frobenius Automorphism as a linear map
154117
Showing $[(fg)h]_n = [f(gh)_n]$ in the linear algebra $F^\infty$
91222
Isomorphism between $\mathfrak o(4,\mathbb R)$ and $\mathfrak o (3,\mathbb R) \oplus\mathfrak o (3,\mathbb R) $
10477
Finding the closure of A=$\mathbb Q \cap [0,1]$.
145752
Aut $\mathbb Z_p\simeq \mathbb Z_{p-1}$
108156
Algebraic closure of $\mathbb{C}(x)$ is isomorphic to $\mathbb{C}$
134065
A question about an $n$-dimensional subspace of $\mathbb{F}^{S}$.
127304
Understanding the algebra of polynomials on a linear space
79328
Proposition 5.15 from Atiyah and Macdonald: Integral Closure and Minimal Polynomial
118874
If $v$ is algebraic over $K(u)$, for some $u\in F$, and $v $ is transcendental over $K$, then $u$ is algebraic over $K(v)$
132423
Non trivial valuation over a finite extension $F/\mathbb{Q}_p$ is equivalent to the one induced by $v_p$
61038
Understanding the Details of the Construction of the Tensor Product
72295
A difficulty in understanding the proof of distributivity of tensor products over direct sums for modules.
45179
When does the isomorphism $G\simeq \ker(\phi)\times \operatorname{im}(\phi)$? hold?
85987
Prove that $k[x,y,z,w]/(xy-zw)$, the coordinate ring of $V(xy-zw) \subset \mathbb{A}^4$, is not a unique factorization domain
139499
The algebraic closure of a finite field and its Galois group
48291
Proof that $\mathrm{ker}(f^*) = \mathrm{im}(f)^{\perp} $