« first day (3460 days earlier)      last day (172 days later) » 

5:02 AM
0
Q: Prove that a field of a set has $2^r$ elements if it has finite cardinality.

Ri-LiProve that a field of a set $A$ has $2^r$ elements if it has finite cardinality. The definition of algebra is given here "https://en.wikipedia.org/wiki/Field_of_sets" My try: I was trying to start from a simple example. Suppose $F:=\{\phi, X, a_1, a_1^c\}\subseteq A$ where $X$ is the total set. N...

 

« first day (3460 days earlier)      last day (172 days later) »