Algebraic closed field has infinite many elements
61428
Show that an algebraically closed field must be infinite.
34387
Is the number of irreducibles in any number field infinite?
74663
Is $\mathbb{R}$ an algebraic extension of some proper subfield?
61429
Is the algebraic closure of a $p$-adic field complete
68753
Elements in finite field extensions
27689
Separability over intersection of intermediate fields
157074
The elements in the composite field $FK$
140662
Powers of infinite cardinals in the generic extension
136167
Prove that structure $(Q/{0}; =;*)$ has infinite number of automorphisms
63390
Infinite algebraic extensions of $\mathbb{Q}$
103427
When is $\operatorname{Hom}_A(M,N)$ finitely generated?
94174
Ring of polynomials over a field has infinitely many primes
42582
Infinite group with only two conjugacy classes
21538
Can a ring of positive characteristic have infinite number of elements?
158525
Given a field, the field of algebraic elements over it in an algebraically closed field extension is again algebraically closed?
55432
Infinite distinct factorizations into irreducibles for an element
35286
number of differents vector space structures over the same field $\mathbb{F}$ on an abelian group