Can a "generalized field" with three operations be infinite?
120401
Does there exist a pair of infinite fields, the additive group of one isomorphic to the multiplicative group of the other?
34387
Is the number of irreducibles in any number field infinite?
155125
Every ordered field has a subfield isomorphic to $\mathbb Q$?
116955
Showing the existence of a certain kind of extension of a finitely generated algebra
142356
Combinations of fields to be unique
69838
Does a countably infinite power set exist?
48127
Are there infinitely many $A\in \mathbb{C}^{2 \times 2}$ satisfying $A^3 = A$?
148192
In a field that is the direct product of two fields, why isn't it a field?
112125
In an extension field, is there any difference between the original field and its isomorphic copy in the extension field?
64079
Is it possible to make integers a field?
63315
Limit to infinity and infinite logarithms?
19777
Defining "Countably Infinite"
22890
Is it coherent to extend $\mathbb{R}$ with a reciprocal of $0$?
7010
Example of two non-isomorphic fields which embed inside each other
78222
Can any monomorphism of a subfield of a splitting field be extended to an automorphism?
129597
Is a field perfect iff the primitive element theorem holds for all extensions, and what about function fields
153935
A weaker Axiom of Infinity?