Why cannot $\frac{0}{0}$ (indeterminate element) be added to a Field extension to $\mathbb{C}$?
62012
What is $0\div0\cdot0$?
53335
Why isn't $\mathbb{C}[x,y,z]/(xz-y)$ a flat $\mathbb{C}[x,y]$-module
68411
Indeterminate form limits question
94589
Why this very simple problem turns to "Indeterminate"?
79295
Frobenius element in cyclotomic extension
116916
What's the rationale for requiring that a field be a $\boldsymbol{non}$-$\boldsymbol{trivial}$ ring?
146446
Infinite Degree Algebraic Field Extensions
75970
$\mathbb Z[1/2]$ is not finitely generated?
140063
An element not in a field extension
121643
Why isn't the zero ring the field with one element?
153589
Integral basis of an extension of number fields
104158
$\frac 00=$ ? Why It is un answerable?
98731
Show that there is no epimorphism from ($\mathbb{Q}$, +) to ($\mathbb{Z}$, +)
26055
Multiplication by $0$ in a field
31961
Given fields $M/E/F$, why does $[M:F] = [M:E][E:F]$?
16147
Generic Element of Compositum of Two Fields
68753
Elements in finite field extensions