Why is infinite field so important here? Clearing my fundamental concept in ring theory.
89397
Do we really need polynomials (In contrast to polynomial functions)?
19504
what are the various fields in which circle is treated as infinite sided regular polygon?
101944
Fundamental invariants of the electromagnetic field
11938
What happens if we remove the requirement that $\langle R, + \rangle$ is abelian from the definition of a ring?
138826
To show that either $R$ is a field or $R$ is a finite ring with prime number of elements and $ab = 0$ for all $a,b \in R$.
52966
Rings, ideals and units-proof
109801
multiplicative group of infinite fields
118573
Why is the Axiom of Infinity necessary?
70610
Why is ring addition commutative?
46798
Is it possible that the zeroes of a polynomial form an infinite field?
6646
A (non-artificial) example of a ring without maximal ideals
140540
Infinite number of intermediate fields between K(u,v) and K
91622
Help with proof that $\mathbb Z[i]/\langle 1 - i \rangle$ is a field.
7828
Proof that an integral domain that is a finite-dimensional $F$-vector space is in fact a field
129258
Why do the Localization of a Ring
31961
Given fields $M/E/F$, why does $[M:F] = [M:E][E:F]$?
20218
Is this field extension finite?