ABSTRACT
Ci-field Let F be a field and let i, j be integers such that i ≥ 0 and j ≥ 1. Also, let P be a homogeneous polynomial of m variables of degree j with coefficients in F . If the equation P = 0 has a solution (s1, s2, . . . , sm) = (0, 0, . . . , 0) in F for any P such that m > ji , then F is called a Ci(j) field. If, for any j ≥ 1, F is a Ci(j) field, then F is called a Ci-field.
