Distributed Systems, Mathematics, Algebra, Abstract Mathematics, Replication.
and hence its not a finite field. Can we have an Example? Yes, let’s consider a field, which has just two elements, known as GF(2)—{ 0, 1}. We can define following operations: Addition: ┌───┬───┬───┐ │ + │ 0 │ 1 │ ├───┼───┼───┤ │ 0 │ 0 │ 1 │ │ 1 │ 1 │ 0 │ └───┴───┴───┘ Multiplication: ┌───┬───┬───┐